Class CudaSolveDense

CudaSolveDense: The cuSolverDN library was designed to solve dense linear systems of the form Ax=B

Inheritance

System.Object

CudaSolveDense

Implements

System.IDisposable

Inherited Members

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Namespace: ManagedCuda.CudaSolve

Assembly: CudaSolve.dll

Syntax

public class CudaSolveDense : IDisposable

Constructors

CudaSolveDense()

Create new dense solve instance

Declaration

public CudaSolveDense()

CudaSolveDense(CudaStream)

Create new dense solve instance using stream stream

Declaration

public CudaSolveDense(CudaStream stream)

Parameters

Type	Name	Description
CudaStream	stream

Methods

Dispose()

Dispose

Declaration

public void Dispose()

Dispose(Boolean)

For IDisposable

Declaration

protected virtual void Dispose(bool fDisposing)

Parameters

Type	Name	Description
System.Boolean	fDisposing

Finalize()

For dispose

Declaration

protected void Finalize()

Gebrd(Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, CudaDeviceVariable<cuDoubleComplex>, CudaDeviceVariable<cuDoubleComplex>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public void Gebrd(int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<double> D, CudaDeviceVariable<double> E, CudaDeviceVariable<cuDoubleComplex> TAUQ, CudaDeviceVariable<cuDoubleComplex> TAUP, CudaDeviceVariable<cuDoubleComplex> Work, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	D	array of dimension min(m,n). The diagonal elements of the bidiagonal matrix B: D(i) = A(i,i).
CudaDeviceVariable<System.Double>	E	array of dimension min(m,n). The off-diagonal elements of the bidiagonal matrix B: if m>=n, E(i) = A(i,i+1) for i = 1,2,...,n-1; if m<n, E(i) = A(i+1,i) for i = 1,2,...,m-1.
CudaDeviceVariable<cuDoubleComplex>	TAUQ	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix Q.
CudaDeviceVariable<cuDoubleComplex>	TAUP	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix P.
CudaDeviceVariable<cuDoubleComplex>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gebrd_bufferSize.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Gebrd(Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, CudaDeviceVariable<cuFloatComplex>, CudaDeviceVariable<cuFloatComplex>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public void Gebrd(int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<float> D, CudaDeviceVariable<float> E, CudaDeviceVariable<cuFloatComplex> TAUQ, CudaDeviceVariable<cuFloatComplex> TAUP, CudaDeviceVariable<cuFloatComplex> Work, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	D	array of dimension min(m,n). The diagonal elements of the bidiagonal matrix B: D(i) = A(i,i).
CudaDeviceVariable<System.Single>	E	array of dimension min(m,n). The off-diagonal elements of the bidiagonal matrix B: if m>=n, E(i) = A(i,i+1) for i = 1,2,...,n-1; if m<n, E(i) = A(i+1,i) for i = 1,2,...,m-1.
CudaDeviceVariable<cuFloatComplex>	TAUQ	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix Q.
CudaDeviceVariable<cuFloatComplex>	TAUP	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix P.
CudaDeviceVariable<cuFloatComplex>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gebrd_bufferSize.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Gebrd(Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public void Gebrd(int m, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> D, CudaDeviceVariable<double> E, CudaDeviceVariable<double> TAUQ, CudaDeviceVariable<double> TAUP, CudaDeviceVariable<double> Work, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	D	array of dimension min(m,n). The diagonal elements of the bidiagonal matrix B: D(i) = A(i,i).
CudaDeviceVariable<System.Double>	E	array of dimension min(m,n). The off-diagonal elements of the bidiagonal matrix B: if m>=n, E(i) = A(i,i+1) for i = 1,2,...,n-1; if m<n, E(i) = A(i+1,i) for i = 1,2,...,m-1.
CudaDeviceVariable<System.Double>	TAUQ	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix Q.
CudaDeviceVariable<System.Double>	TAUP	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix P.
CudaDeviceVariable<System.Double>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gebrd_bufferSize.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Gebrd(Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public void Gebrd(int m, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> D, CudaDeviceVariable<float> E, CudaDeviceVariable<float> TAUQ, CudaDeviceVariable<float> TAUP, CudaDeviceVariable<float> Work, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	D	array of dimension min(m,n). The diagonal elements of the bidiagonal matrix B: D(i) = A(i,i).
CudaDeviceVariable<System.Single>	E	array of dimension min(m,n). The off-diagonal elements of the bidiagonal matrix B: if m>=n, E(i) = A(i,i+1) for i = 1,2,...,n-1; if m<n, E(i) = A(i+1,i) for i = 1,2,...,m-1.
CudaDeviceVariable<System.Single>	TAUQ	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix Q.
CudaDeviceVariable<System.Single>	TAUP	array of dimension min(m,n). The scalar factors of the elementary reflectors which represent the orthogonal matrix P.
CudaDeviceVariable<System.Single>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gebrd_bufferSize.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

GebrdBufferSizeDouble(Int32, Int32)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public int GebrdBufferSizeDouble(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GebrdBufferSizeDoubleComplex(Int32, Int32)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public int GebrdBufferSizeDoubleComplex(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GebrdBufferSizeFloat(Int32, Int32)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public int GebrdBufferSizeFloat(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GebrdBufferSizeFloatComplex(Int32, Int32)

This function reduces a general real m×n matrix A to upper or lower bidiagonal form B by an orthogonal transformation: Q^HAP=B

Declaration

public int GebrdBufferSizeFloatComplex(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Geqrf(Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Geqrf(int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<cuDoubleComplex> TAU, CudaDeviceVariable<cuDoubleComplex> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuDoubleComplex>	TAU	array of dimension at least min(m,n).
CudaDeviceVariable<cuDoubleComplex>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of working array Workspace.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the LU factorization is successful. if info = -i, the i-th parameter is wrong.

Geqrf(Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Geqrf(int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<cuFloatComplex> TAU, CudaDeviceVariable<cuFloatComplex> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuFloatComplex>	TAU	array of dimension at least min(m,n).
CudaDeviceVariable<cuFloatComplex>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of working array Workspace.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the LU factorization is successful. if info = -i, the i-th parameter is wrong.

Geqrf(Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Geqrf(int m, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> TAU, CudaDeviceVariable<double> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	TAU	array of dimension at least min(m,n).
CudaDeviceVariable<System.Double>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of working array Workspace.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the LU factorization is successful. if info = -i, the i-th parameter is wrong.

Geqrf(Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Geqrf(int m, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> TAU, CudaDeviceVariable<float> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	TAU	array of dimension at least min(m,n).
CudaDeviceVariable<System.Single>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of working array Workspace.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the LU factorization is successful. if info = -i, the i-th parameter is wrong.

GeqrfBufferSize(Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public int GeqrfBufferSize(int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GeqrfBufferSize(Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public int GeqrfBufferSize(int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GeqrfBufferSize(Int32, Int32, CudaDeviceVariable<Double>, Int32)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public int GeqrfBufferSize(int m, int n, CudaDeviceVariable<double> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GeqrfBufferSize(Int32, Int32, CudaDeviceVariable<Single>, Int32)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public int GeqrfBufferSize(int m, int n, CudaDeviceVariable<float> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Gesvd(Char, Char, Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Int32>)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public void Gesvd(char jobu, char jobvt, int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<double> S, CudaDeviceVariable<cuDoubleComplex> U, int ldu, CudaDeviceVariable<cuDoubleComplex> VT, int ldvt, CudaDeviceVariable<cuDoubleComplex> Work, int Lwork, CudaDeviceVariable<double> rwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Char	jobu	specifies options for computing all or part of the matrix U: = 'A': all m columns of U are returned in array U: = 'S': the first min(m,n) columns of U (the left singular vectors) are returned in the array U; = 'O': the first min(m,n) columns of U (the left singular vectors) are overwritten on the array A; = 'N': no columns of U (no left singular vectors) are computed.
System.Char	jobvt	specifies options for computing all or part of the matrix VT: = 'A': all N rows of VT are returned in the array VT; = 'S': the first min(m,n) rows of VT (the right singular vectors) are returned in the array VT; = 'O': the first min(m,n) rows of VT (the right singular vectors) are overwritten on the array A; = 'N': no rows of V**T (no right singular vectors) are computed.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m). On exit, the contents of A are destroyed.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	S	array of dimension min(m,n). The singular values of A, sorted so that S(i) = S(i+1).
CudaDeviceVariable<cuDoubleComplex>	U	array of dimension ldu * m with ldu is not less than max(1,m). U contains the m×m unitary matrix U.
System.Int32	ldu	leading dimension of two-dimensional array used to store matrix U.
CudaDeviceVariable<cuDoubleComplex>	VT	array of dimension ldvt * n with ldvt is not less than max(1,n). VT contains the n×n unitary matrix V**T.
System.Int32	ldvt	leading dimension of two-dimensional array used to store matrix Vt.
CudaDeviceVariable<cuDoubleComplex>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gesvd_bufferSize.
CudaDeviceVariable<System.Double>	rwork
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the ith parameter is wrong. if devInfo > 0, devInfo indicates how many superdiagonals of an intermediate bidiagonal form B did not converge to zero.

Gesvd(Char, Char, Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Int32>)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public void Gesvd(char jobu, char jobvt, int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<float> S, CudaDeviceVariable<cuFloatComplex> U, int ldu, CudaDeviceVariable<cuFloatComplex> VT, int ldvt, CudaDeviceVariable<cuFloatComplex> Work, int Lwork, CudaDeviceVariable<float> rwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Char	jobu	specifies options for computing all or part of the matrix U: = 'A': all m columns of U are returned in array U: = 'S': the first min(m,n) columns of U (the left singular vectors) are returned in the array U; = 'O': the first min(m,n) columns of U (the left singular vectors) are overwritten on the array A; = 'N': no columns of U (no left singular vectors) are computed.
System.Char	jobvt	specifies options for computing all or part of the matrix VT: = 'A': all N rows of VT are returned in the array VT; = 'S': the first min(m,n) rows of VT (the right singular vectors) are returned in the array VT; = 'O': the first min(m,n) rows of VT (the right singular vectors) are overwritten on the array A; = 'N': no rows of V**T (no right singular vectors) are computed.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m). On exit, the contents of A are destroyed.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	S	array of dimension min(m,n). The singular values of A, sorted so that S(i) = S(i+1).
CudaDeviceVariable<cuFloatComplex>	U	array of dimension ldu * m with ldu is not less than max(1,m). U contains the m×m unitary matrix U.
System.Int32	ldu	leading dimension of two-dimensional array used to store matrix U.
CudaDeviceVariable<cuFloatComplex>	VT	array of dimension ldvt * n with ldvt is not less than max(1,n). VT contains the n×n unitary matrix V**T.
System.Int32	ldvt	leading dimension of two-dimensional array used to store matrix Vt.
CudaDeviceVariable<cuFloatComplex>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gesvd_bufferSize.
CudaDeviceVariable<System.Single>	rwork
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the ith parameter is wrong. if devInfo > 0, devInfo indicates how many superdiagonals of an intermediate bidiagonal form B did not converge to zero.

Gesvd(Char, Char, Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Int32>)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public void Gesvd(char jobu, char jobvt, int m, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> S, CudaDeviceVariable<double> U, int ldu, CudaDeviceVariable<double> VT, int ldvt, CudaDeviceVariable<double> Work, int Lwork, CudaDeviceVariable<double> rwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Char	jobu	specifies options for computing all or part of the matrix U: = 'A': all m columns of U are returned in array U: = 'S': the first min(m,n) columns of U (the left singular vectors) are returned in the array U; = 'O': the first min(m,n) columns of U (the left singular vectors) are overwritten on the array A; = 'N': no columns of U (no left singular vectors) are computed.
System.Char	jobvt	specifies options for computing all or part of the matrix VT: = 'A': all N rows of VT are returned in the array VT; = 'S': the first min(m,n) rows of VT (the right singular vectors) are returned in the array VT; = 'O': the first min(m,n) rows of VT (the right singular vectors) are overwritten on the array A; = 'N': no rows of V**T (no right singular vectors) are computed.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m). On exit, the contents of A are destroyed.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	S	array of dimension min(m,n). The singular values of A, sorted so that S(i) = S(i+1).
CudaDeviceVariable<System.Double>	U	array of dimension ldu * m with ldu is not less than max(1,m). U contains the m×m unitary matrix U.
System.Int32	ldu	leading dimension of two-dimensional array used to store matrix U.
CudaDeviceVariable<System.Double>	VT	array of dimension ldvt * n with ldvt is not less than max(1,n). VT contains the n×n unitary matrix V**T.
System.Int32	ldvt	leading dimension of two-dimensional array used to store matrix Vt.
CudaDeviceVariable<System.Double>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gesvd_bufferSize.
CudaDeviceVariable<System.Double>	rwork
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the ith parameter is wrong. if devInfo > 0, devInfo indicates how many superdiagonals of an intermediate bidiagonal form B did not converge to zero.

Gesvd(Char, Char, Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Int32>)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public void Gesvd(char jobu, char jobvt, int m, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> S, CudaDeviceVariable<float> U, int ldu, CudaDeviceVariable<float> VT, int ldvt, CudaDeviceVariable<float> Work, int Lwork, CudaDeviceVariable<float> rwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Char	jobu	specifies options for computing all or part of the matrix U: = 'A': all m columns of U are returned in array U: = 'S': the first min(m,n) columns of U (the left singular vectors) are returned in the array U; = 'O': the first min(m,n) columns of U (the left singular vectors) are overwritten on the array A; = 'N': no columns of U (no left singular vectors) are computed.
System.Char	jobvt	specifies options for computing all or part of the matrix VT: = 'A': all N rows of VT are returned in the array VT; = 'S': the first min(m,n) rows of VT (the right singular vectors) are returned in the array VT; = 'O': the first min(m,n) rows of VT (the right singular vectors) are overwritten on the array A; = 'N': no rows of V**T (no right singular vectors) are computed.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m). On exit, the contents of A are destroyed.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	S	array of dimension min(m,n). The singular values of A, sorted so that S(i) = S(i+1).
CudaDeviceVariable<System.Single>	U	array of dimension ldu * m with ldu is not less than max(1,m). U contains the m×m unitary matrix U.
System.Int32	ldu	leading dimension of two-dimensional array used to store matrix U.
CudaDeviceVariable<System.Single>	VT	array of dimension ldvt * n with ldvt is not less than max(1,n). VT contains the n×n unitary matrix V**T.
System.Int32	ldvt	leading dimension of two-dimensional array used to store matrix Vt.
CudaDeviceVariable<System.Single>	Work	working space, array of size Lwork.
System.Int32	Lwork	size of Work, returned by gesvd_bufferSize.
CudaDeviceVariable<System.Single>	rwork
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the ith parameter is wrong. if devInfo > 0, devInfo indicates how many superdiagonals of an intermediate bidiagonal form B did not converge to zero.

GesvdBufferSizeDouble(Int32, Int32)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public int GesvdBufferSizeDouble(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GesvdBufferSizeDoubleComplex(Int32, Int32)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public int GesvdBufferSizeDoubleComplex(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GesvdBufferSizeFloat(Int32, Int32)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public int GesvdBufferSizeFloat(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GesvdBufferSizeFloatComplex(Int32, Int32)

This function computes the singular value decomposition (SVD) of a m×n matrix A and corresponding the left and/or right singular vectors.

Declaration

public int GesvdBufferSizeFloatComplex(int m, int n)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Getrf(Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, CudaDeviceVariable<Int32>, CudaDeviceVariable<Int32>)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public void Getrf(int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<cuDoubleComplex> Workspace, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuDoubleComplex>	Workspace	working space, array of size Lwork.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least min(m,n), containing pivot indices.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the U(i,i) = 0.

Getrf(Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, CudaDeviceVariable<Int32>, CudaDeviceVariable<Int32>)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public void Getrf(int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<cuFloatComplex> Workspace, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuFloatComplex>	Workspace	working space, array of size Lwork.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least min(m,n), containing pivot indices.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the U(i,i) = 0.

Getrf(Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Int32>, CudaDeviceVariable<Int32>)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public void Getrf(int m, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> Workspace, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	Workspace	working space, array of size Lwork.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least min(m,n), containing pivot indices.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the U(i,i) = 0.

Getrf(Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Int32>, CudaDeviceVariable<Int32>)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public void Getrf(int m, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> Workspace, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	Workspace	working space, array of size Lwork.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least min(m,n), containing pivot indices.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the U(i,i) = 0.

GetrfBufferSize(Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public int GetrfBufferSize(int m, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GetrfBufferSize(Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public int GetrfBufferSize(int m, int n, CudaDeviceVariable<cuFloatComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GetrfBufferSize(Int32, Int32, CudaDeviceVariable<Double>, Int32)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public int GetrfBufferSize(int m, int n, CudaDeviceVariable<double> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

GetrfBufferSize(Int32, Int32, CudaDeviceVariable<Single>, Int32)

This function computes the LU factorization of a m×n matrix PA=LU where A is a m×n matrix, P is a permutation matrix, L is a lower triangular matrix with unit diagonal, and U is an upper triangular matrix.

Declaration

public int GetrfBufferSize(int m, int n, CudaDeviceVariable<float> A, int lda)

Parameters

Type	Name	Description
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Getrs(Operation, Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function solves a linear system of multiple right-hand sides op(A)*X=B.

Declaration

public void Getrs(Operation trans, int n, int nrhs, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<cuDoubleComplex> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
Operation	trans	operation op(A) that is non- or (conj.) transpose.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of right-hand sides.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<cuDoubleComplex>	B	array of dimension ldb * nrhs with ldb is not less than max(1,n).
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Getrs(Operation, Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function solves a linear system of multiple right-hand sides op(A)*X=B.

Declaration

public void Getrs(Operation trans, int n, int nrhs, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<cuFloatComplex> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
Operation	trans	operation op(A) that is non- or (conj.) transpose.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of right-hand sides.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<cuFloatComplex>	B	array of dimension ldb * nrhs with ldb is not less than max(1,n).
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Getrs(Operation, Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function solves a linear system of multiple right-hand sides op(A)*X=B.

Declaration

public void Getrs(Operation trans, int n, int nrhs, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<double> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
Operation	trans	operation op(A) that is non- or (conj.) transpose.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of right-hand sides.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<System.Double>	B	array of dimension ldb * nrhs with ldb is not less than max(1,n).
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

Getrs(Operation, Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function solves a linear system of multiple right-hand sides op(A)*X=B.

Declaration

public void Getrs(Operation trans, int n, int nrhs, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<int> devIpiv, CudaDeviceVariable<float> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
Operation	trans	operation op(A) that is non- or (conj.) transpose.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of right-hand sides.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	devIpiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<System.Single>	B	array of dimension ldb * nrhs with ldb is not less than max(1,n).
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the operation is successful. if devInfo = -i, the i-th parameter is wrong.

GetStream()

This function gets the stream to be used by the cuSolverDN library to execute its routines.

Declaration

public CudaStream GetStream()

Returns

Type	Description
CudaStream

Ormqr(SideMode, Operation, Int32, Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Ormqr(SideMode side, Operation trans, int m, int n, int k, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> tau, CudaDeviceVariable<double> C, int ldc, CudaDeviceVariable<double> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
SideMode	side	indicates if matrix Q is on the left or right of C.
Operation	trans	operation op(Q) that is non- or (conj.) transpose.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
System.Int32	k	number of elementary relfections.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	tau	array of dimension at least min(m,n). The vector tau is from geqrf, so tau(i) is the scalar of i-th elementary reflection vector.
CudaDeviceVariable<System.Double>	C	array of size ldc * n. On exit, C is overwritten by op(Q)*C.
System.Int32	ldc	leading dimension of two-dimensional array of matrix C. ldc >= max(1,m).
CudaDeviceVariable<System.Double>	work	working space, array of size lwork.
System.Int32	lwork	size of working array work.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the ormqr is successful. if info = -i, the i-th parameter is wrong.

Ormqr(SideMode, Operation, Int32, Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Ormqr(SideMode side, Operation trans, int m, int n, int k, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> tau, CudaDeviceVariable<float> C, int ldc, CudaDeviceVariable<float> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
SideMode	side	indicates if matrix Q is on the left or right of C.
Operation	trans	operation op(Q) that is non- or (conj.) transpose.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
System.Int32	k	number of elementary relfections.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	tau	array of dimension at least min(m,n). The vector tau is from geqrf, so tau(i) is the scalar of i-th elementary reflection vector.
CudaDeviceVariable<System.Single>	C	array of size ldc * n. On exit, C is overwritten by op(Q)*C.
System.Int32	ldc	leading dimension of two-dimensional array of matrix C. ldc >= max(1,m).
CudaDeviceVariable<System.Single>	work	working space, array of size lwork.
System.Int32	lwork	size of working array work.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the ormqr is successful. if info = -i, the i-th parameter is wrong.

Potrf(FillMode, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public void Potrf(FillMode uplo, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<cuDoubleComplex> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuDoubleComplex>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of Workspace
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the leading minor of order i is not positive definite.

Potrf(FillMode, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public void Potrf(FillMode uplo, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<cuFloatComplex> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuFloatComplex>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of Workspace
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the leading minor of order i is not positive definite.

Potrf(FillMode, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public void Potrf(FillMode uplo, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of Workspace
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the leading minor of order i is not positive definite.

Potrf(FillMode, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public void Potrf(FillMode uplo, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> Workspace, int Lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	Workspace	working space, array of size Lwork.
System.Int32	Lwork	size of Workspace
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the leading minor of order i is not positive definite.

PotrfBufferSize(FillMode, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public int PotrfBufferSize(FillMode uplo, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

PotrfBufferSize(FillMode, Int32, CudaDeviceVariable<cuFloatComplex>, Int32)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public int PotrfBufferSize(FillMode uplo, int n, CudaDeviceVariable<cuFloatComplex> A, int lda)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

PotrfBufferSize(FillMode, Int32, CudaDeviceVariable<Double>, Int32)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public int PotrfBufferSize(FillMode uplo, int n, CudaDeviceVariable<double> A, int lda)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

PotrfBufferSize(FillMode, Int32, CudaDeviceVariable<Single>, Int32)

This function computes the Cholesky factorization of a Hermitian positive-definite matrix.

Declaration

public int PotrfBufferSize(FillMode uplo, int n, CudaDeviceVariable<float> A, int lda)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Potrs(FillMode, Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function solves a system of linear equations A*X=B where A is a n×n Hermitian matrix, only lower or upper part is meaningful.

Declaration

public void Potrs(FillMode uplo, int n, int nrhs, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<cuDoubleComplex> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of columns of matrix X and B.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n). A is either lower cholesky factor L or upper Cholesky factor U.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuDoubleComplex>	B	array of dimension ldb * nrhs. ldb is not less than max(1,n). As an input, B is right hand side matrix. As an output, B is the solution matrix.
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong.

Potrs(FillMode, Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function solves a system of linear equations A*X=B where A is a n×n Hermitian matrix, only lower or upper part is meaningful.

Declaration

public void Potrs(FillMode uplo, int n, int nrhs, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<cuFloatComplex> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of columns of matrix X and B.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n). A is either lower cholesky factor L or upper Cholesky factor U.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuFloatComplex>	B	array of dimension ldb * nrhs. ldb is not less than max(1,n). As an input, B is right hand side matrix. As an output, B is the solution matrix.
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong.

Potrs(FillMode, Int32, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function solves a system of linear equations A*X=B where A is a n×n Hermitian matrix, only lower or upper part is meaningful.

Declaration

public void Potrs(FillMode uplo, int n, int nrhs, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<double> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of columns of matrix X and B.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n). A is either lower cholesky factor L or upper Cholesky factor U.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Double>	B	array of dimension ldb * nrhs. ldb is not less than max(1,n). As an input, B is right hand side matrix. As an output, B is the solution matrix.
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong.

Potrs(FillMode, Int32, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function solves a system of linear equations A*X=B where A is a n×n Hermitian matrix, only lower or upper part is meaningful.

Declaration

public void Potrs(FillMode uplo, int n, int nrhs, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<float> B, int ldb, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
System.Int32	nrhs	number of columns of matrix X and B.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n). A is either lower cholesky factor L or upper Cholesky factor U.
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Single>	B	array of dimension ldb * nrhs. ldb is not less than max(1,n). As an input, B is right hand side matrix. As an output, B is the solution matrix.
System.Int32	ldb	leading dimension of two-dimensional array used to store matrix B.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the Cholesky factorization is successful. if devInfo = -i, the i-th parameter is wrong.

SetStream(CudaStream)

This function sets the stream to be used by the cuSolverDN library to execute its routines.

Declaration

public void SetStream(CudaStream stream)

Parameters

Type	Name	Description
CudaStream	stream	the stream to be used by the library.

Sytrf(FillMode, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public void Sytrf(FillMode uplo, int n, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<int> ipiv, CudaDeviceVariable<cuDoubleComplex> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	ipiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<cuDoubleComplex>	work	working space, array of size lwork.
System.Int32	lwork	size of working space work.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the D(i,i) = 0.

Sytrf(FillMode, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public void Sytrf(FillMode uplo, int n, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<int> ipiv, CudaDeviceVariable<cuFloatComplex> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	ipiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<cuFloatComplex>	work	working space, array of size lwork.
System.Int32	lwork	size of working space work.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the D(i,i) = 0.

Sytrf(FillMode, Int32, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<Double>, Int32, CudaDeviceVariable<Int32>)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public void Sytrf(FillMode uplo, int n, CudaDeviceVariable<double> A, int lda, CudaDeviceVariable<int> ipiv, CudaDeviceVariable<double> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	ipiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<System.Double>	work	working space, array of size lwork.
System.Int32	lwork	size of working space work.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the D(i,i) = 0.

Sytrf(FillMode, Int32, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>, CudaDeviceVariable<Single>, Int32, CudaDeviceVariable<Int32>)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public void Sytrf(FillMode uplo, int n, CudaDeviceVariable<float> A, int lda, CudaDeviceVariable<int> ipiv, CudaDeviceVariable<float> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
FillMode	uplo	indicates if matrix A lower or upper part is stored, the other part is not referenced.
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<System.Int32>	ipiv	array of size at least n, containing pivot indices.
CudaDeviceVariable<System.Single>	work	working space, array of size lwork.
System.Int32	lwork	size of working space work.
CudaDeviceVariable<System.Int32>	devInfo	if devInfo = 0, the LU factorization is successful. if devInfo = -i, the i-th parameter is wrong. if devInfo = i, the D(i,i) = 0.

SytrfBufferSize(Int32, CudaDeviceVariable<cuDoubleComplex>, Int32)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public int SytrfBufferSize(int n, CudaDeviceVariable<cuDoubleComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

SytrfBufferSize(Int32, CudaDeviceVariable<cuFloatComplex>, Int32)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public int SytrfBufferSize(int n, CudaDeviceVariable<cuFloatComplex> A, int lda)

Parameters

Type	Name	Description
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

SytrfBufferSize(Int32, CudaDeviceVariable<Double>, Int32)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public int SytrfBufferSize(int n, CudaDeviceVariable<double> A, int lda)

Parameters

Type	Name	Description
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Double>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

SytrfBufferSize(Int32, CudaDeviceVariable<Single>, Int32)

This function computes the Bunch-Kaufman factorization of a n×n symmetric indefinite matrix.

Declaration

public int SytrfBufferSize(int n, CudaDeviceVariable<float> A, int lda)

Parameters

Type	Name	Description
System.Int32	n	number of rows and columns of matrix A.
CudaDeviceVariable<System.Single>	A	array of dimension lda * n with lda is not less than max(1,n).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.

Returns

Type	Description
System.Int32	size of Workspace

Unmqr(SideMode, Operation, Int32, Int32, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<cuDoubleComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Unmqr(SideMode side, Operation trans, int m, int n, int k, CudaDeviceVariable<cuDoubleComplex> A, int lda, CudaDeviceVariable<cuDoubleComplex> tau, CudaDeviceVariable<cuDoubleComplex> C, int ldc, CudaDeviceVariable<cuDoubleComplex> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
SideMode	side	indicates if matrix Q is on the left or right of C.
Operation	trans	operation op(Q) that is non- or (conj.) transpose.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
System.Int32	k	number of elementary relfections.
CudaDeviceVariable<cuDoubleComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuDoubleComplex>	tau	array of dimension at least min(m,n). The vector tau is from geqrf, so tau(i) is the scalar of i-th elementary reflection vector.
CudaDeviceVariable<cuDoubleComplex>	C	array of size ldc * n. On exit, C is overwritten by op(Q)*C.
System.Int32	ldc	leading dimension of two-dimensional array of matrix C. ldc >= max(1,m).
CudaDeviceVariable<cuDoubleComplex>	work	working space, array of size lwork.
System.Int32	lwork	size of working array work.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the ormqr is successful. if info = -i, the i-th parameter is wrong.

Unmqr(SideMode, Operation, Int32, Int32, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<cuFloatComplex>, Int32, CudaDeviceVariable<Int32>)

This function computes the QR factorization of a m×n matrix A=Q*R where A is a m×n matrix, Q is a m×n matrix, and R is a n×n upper triangular matrix.

Declaration

public void Unmqr(SideMode side, Operation trans, int m, int n, int k, CudaDeviceVariable<cuFloatComplex> A, int lda, CudaDeviceVariable<cuFloatComplex> tau, CudaDeviceVariable<cuFloatComplex> C, int ldc, CudaDeviceVariable<cuFloatComplex> work, int lwork, CudaDeviceVariable<int> devInfo)

Parameters

Type	Name	Description
SideMode	side	indicates if matrix Q is on the left or right of C.
Operation	trans	operation op(Q) that is non- or (conj.) transpose.
System.Int32	m	number of rows of matrix A.
System.Int32	n	number of columns of matrix A.
System.Int32	k	number of elementary relfections.
CudaDeviceVariable<cuFloatComplex>	A	array of dimension lda * n with lda is not less than max(1,m).
System.Int32	lda	leading dimension of two-dimensional array used to store matrix A.
CudaDeviceVariable<cuFloatComplex>	tau	array of dimension at least min(m,n). The vector tau is from geqrf, so tau(i) is the scalar of i-th elementary reflection vector.
CudaDeviceVariable<cuFloatComplex>	C	array of size ldc * n. On exit, C is overwritten by op(Q)*C.
System.Int32	ldc	leading dimension of two-dimensional array of matrix C. ldc >= max(1,m).
CudaDeviceVariable<cuFloatComplex>	work	working space, array of size lwork.
System.Int32	lwork	size of working array work.
CudaDeviceVariable<System.Int32>	devInfo	if info = 0, the ormqr is successful. if info = -i, the i-th parameter is wrong.

Implements

System.IDisposable