(C|Z)HBMV¶

Single complex and double complex HBMV.

Description¶

Computes a hermitian banded matrix-vector product.

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

BLAS Interface¶

void chbmv(const char *UPLO, const qml_long *N, const qml_long *K,
           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 zhbmv(const char *UPLO, const qml_long *N, const qml_long *K,
           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_chbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO, const qml_long N,
                 const qml_long K, 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_zhbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO, const qml_long N,
                 const qml_long K, 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¶

UPLO	Specify whether the upper or lower triangle of matrix A will be used
N	Order of matrix A
K	Number of super-diagonals of A, with $0 \le \fvar{K}$
ALPHA	Scalar multiplied with the matrix-vector product
A	Input matrix A
LDA	Leading dimension of matrix A, with $\fvar{LDA} \ge \fvar{K}+1$
X	First input vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
INCX	Distance between individual elements in X
BETA	Scalar multiplied with vector Y
Y	Second vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCY}} + 1$
INCY	Distance between individual elements in Y