(S|D|C|Z)GBMV¶

Single, double, single complex, and double complex GBMV.

Description¶

Computes a general banded matrix-vector product.

$y \assign \alpha A * x + \beta y$

BLAS Interface¶

void sgbmv(const char *TRANS, const qml_long *M, const qml_long *N,
           const qml_long *KL, const qml_long *KU, const float *ALPHA,
           const float *A, const qml_long *LDA, const float *X,
           const qml_long *INCX, const float *BETA, float *Y,
           const qml_long *INCY);

void dgbmv(const char *TRANS, const qml_long *M, const qml_long *N,
           const qml_long *KL, const qml_long *KU, const double *ALPHA,
           const double *A, const qml_long *LDA, const double *X,
           const qml_long *INCX, const double *BETA, double *Y,
           const qml_long *INCY);

void cgbmv(const char *TRANS, const qml_long *M, const qml_long *N,
           const qml_long *KL, const qml_long *KU,
           const qml_single_complex *ALPHA, const qml_single_complex *A,
           const qml_long *LDA, const qml_single_complex *X,
           const qml_long *INCX, const qml_single_complex *BETA,
           qml_single_complex *Y, const qml_long *INCY);

void zgbmv(const char *TRANS, const qml_long *M, const qml_long *N,
           const qml_long *KL, const qml_long *KU,
           const qml_double_complex *ALPHA, const qml_double_complex *A,
           const qml_long *LDA, const qml_double_complex *X,
           const qml_long *INCX, const qml_double_complex *BETA,
           qml_double_complex *Y, const qml_long *INCY);

CBLAS Interface¶

void cblas_sgbmv(const CBLAS_ORDER ORDER, const CBLAS_TRANSPOSE TRANS,
                 const qml_long M, const qml_long N, const qml_long KL,
                 const qml_long KU, const float ALPHA, const float *A,
                 const qml_long LDA, const float *X, const qml_long INCX,
                 const float BETA, float *Y, const qml_long INCY);

void cblas_dgbmv(const CBLAS_ORDER ORDER, const CBLAS_TRANSPOSE TRANS,
                 const qml_long M, const qml_long N, const qml_long KL,
                 const qml_long KU, const double ALPHA, const double *A,
                 const qml_long LDA, const double *X, const qml_long INCX,
                 const double BETA, double *Y, const qml_long INCY);

void cblas_cgbmv(const CBLAS_ORDER ORDER, const CBLAS_TRANSPOSE TRANS,
                 const qml_long M, const qml_long N, const qml_long KL,
                 const qml_long KU, const qml_single_complex *ALPHA,
                 const qml_single_complex *A, const qml_long LDA,
                 const qml_single_complex *X, const qml_long INCX,
                 const qml_single_complex *BETA, qml_single_complex *Y,
                 const qml_long INCY);

void cblas_zgbmv(const CBLAS_ORDER ORDER, const CBLAS_TRANSPOSE TRANS,
                 const qml_long M, const qml_long N, const qml_long KL,
                 const qml_long KU, const qml_double_complex *ALPHA,
                 const qml_double_complex *A, const qml_long LDA,
                 const qml_double_complex *X, const qml_long INCX,
                 const qml_double_complex *BETA, qml_double_complex *Y,
                 const qml_long INCY);

Arguments¶

TRANS	Specifies how to read matrix A
	Possible values: Non-Transpose, Tranpose, Complex Conjugate Transpose
M	Number of rows of matrix A
N	Number of columns of matrix A
KL	Number of sub-diagonals of A, with $0 \le \fvar{KL}$
KU	Number of super-diagonals of A, with $0 \le \fvar{KU}$
ALPHA	Scalar multiplied with the matrix-vector product
A	Input matrix A
LDA	Leading dimension of matrix A
X	First input vector, must be at least:
	When Non-Tranpose: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
	When Tranpose: $(\fvar{M}-1)\mult\abs{\fvar{INCX}} + 1$
INCX	Distance between individual elements in X
BETA	Scalar multiplied with vector Y
Y	Second input vector, must be at least:
	When Non-Transpose: $(\fvar{M}-1)\mult\abs{\fvar{INCY}} + 1$
	When Transpose: $(\fvar{N}-1)\mult\abs{\fvar{INCY}} + 1$
INCY	Distance between individual elements in Y