(S|D|C|Z)TBMV¶

Single, double, single complex, and double complex TBMV.

Description¶

Computes a triangle banded matrix-vector product.

$x \assign \alpha A * x$

or

$x \assign \alpha \trans{A} * x$

or

$x \assign \alpha \herm{A} * x$

BLAS Interface¶

void stbmv(const char *UPLO, const char *TRANS, const char *DIAG,
           const qml_long *N, const qml_long *K, const float *A,
           const qml_long *LDA, float *X, const qml_long *INCX);

void dtbmv(const char *UPLO, const char *TRANS, const char *DIAG,
           const qml_long *N, const qml_long *K, const double *A,
           const qml_long *LDA, double *X, const qml_long *INCX);

void ctbmv(const char *UPLO, const char *TRANS, const char *DIAG,
           const qml_long *N, const qml_long *K, const qml_single_complex *A,
           const qml_long *LDA, qml_single_complex *X, const qml_long *INCX);

void ztbmv(const char *UPLO, const char *TRANS, const char *DIAG,
           const qml_long *N, const qml_long *K, const qml_double_complex *A,
           const qml_long *LDA, qml_double_complex *X, const qml_long *INCX);

CBLAS Interface¶

void cblas_stbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const qml_long K, const float *A,
                 const qml_long LDA, float *X, const qml_long INCX);

void cblas_dtbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const qml_long K, const double *A,
                 const qml_long LDA, double *X, const qml_long INCX);

void cblas_ctbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const qml_long K,
                 const qml_single_complex *A, const qml_long LDA,
                 qml_single_complex *X, const qml_long INCX);

void cblas_ztbmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const qml_long K,
                 const qml_double_complex *A, const qml_long LDA,
                 qml_double_complex *X, const qml_long INCX);

Arguments¶

UPLO	Specify whether the upper or lower triangle of matrix A will be used
TRANS	Specifies which product is computed:
	Non-Transpose: $x \assign \alpha A * x$
	Transpose: $x \assign \alpha \trans{A} * x$
	Complex Conjugate Transpose: $x \assign \alpha \herm{A} * x$
DIAG	Whether the diagonal is unit or not
N	Order of matrix A
K	Number of super- or sub-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	Vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
INCX	Distance between individual elements in X