ILapackzgesdd Method

void zgesdd(
	char jobz,
	int m,
	int n,
	complex* a,
	int lda,
	double* s,
	complex* u,
	int ldu,
	complex* vt,
	int ldvt,
	ref int info
)

Visual Basic does not support APIs that consume or return unsafe types.

Visual Basic does not support APIs that consume or return unsafe types.

Parameters

jobz

Type: SystemChar
Specifies options for computing all or part of the matrix U

jobz value	... will result in:
A	all M columns of U and all N rows of V**T are returned in the arrays U and VT
S	the first min(M,N) columns of U and the first min(M,N) rows of V**T are returned in the arrays U and VT
O	If M >= N, the first N columns of U are overwritten on the array A and all rows of V**T are returned in the array VT, otherwise, all columns of U are returned in the array U and the first M rows of V**T are overwritten in the array VT
N	no columns of U or rows of V**T are computed.

m

Type: SystemInt32
The number of rows of the input matrix A. M greater or equal to 0.

n

Type: SystemInt32
The number of columns of the input matrix A. N greater or equal to 0

a

Type: ILNumericscomplex*
On entry, the M-by-N matrix A. On exit, if JOBZ = 'O', A is overwritten with the first N columns of U (the left singular vectors, stored columnwise) if M >= N; A is overwritten with the first M rows of V**T (the right singular vectors, stored rowwise) otherwise.if JOBZ .ne. 'O', the contents of A are destroyed.

lda

Type: SystemInt32
The leading dimension of the array A. LDA ge max(1,M).

s

Type: SystemDouble*
array, dimension (min(M,N)). The singular values of A, sorted so that S(i) ge S(i+1)

u

Type: ILNumericscomplex*
array, dimension (LDU,UCOL) UCOL = M if JOBZ = 'A' or JOBZ = 'O' and M < N; UCOL = min(M,N) if JOBZ = 'S'. If JOBZ = 'A' or JOBZ = 'O' and M < N, U contains the M-by-M orthogonal matrix U; if JOBZ = 'S', U contains the first min(M,N) columns of U (the left singular vectors, stored columnwise); if JOBZ = 'O' and M >= N, or JOBZ = 'N', U is not referenced.

ldu

Type: SystemInt32
The leading dimension of the array U. LDU >= 1; if JOBZ = 'S' or 'A' or JOBZ = 'O' and M < N, LDU >= M

vt

Type: ILNumericscomplex*
array, dimension (LDVT,N). If JOBZ = 'A' or JOBZ = 'O' and M >= N, VT contains the N-by-N orthogonal matrix V**T; if JOBZ = 'S', VT contains the first min(M,N) rows of V**T (the right singular vectors, stored rowwise); if JOBZ = 'O' and M < N, or JOBZ = 'N', VT is not referenced

ldvt

Type: SystemInt32
The leading dimension of the array VT. LDVT > = 1; if JOBZ = 'A' or JOBZ = 'O' and M > = N, LDVT >= N; if JOBZ = 'S', LDVT > min(M,N).

info

Type: SystemInt32
0: successful exit.< 0 : if INFO = -i, the i-th argument had an illegal value.> 0 : ?BGSDD did not converge, updating process failed.

A = U * SIGMA * transpose(V)

[ILNumerics Core Module]

Reference