(S|D|C|Z)TPMV¶

Single, double, single complex, and double complex TPMV.

Description¶

Computes a packed banded triangle matrix-vector product.

$x\assign A * x$

or

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

or

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

BLAS Interface¶

void stpmv(const char *UPLO, const char *TRANS, const char *DIAG, const qml_long *N,
           const float *AP, float *X, const qml_long *INCX);

void dtpmv(const char *UPLO, const char *TRANS, const char *DIAG, const qml_long *N,
           const double *AP, double *X, const qml_long *INCX);

void ctpmv(const char *UPLO, const char *TRANS, const char *DIAG, const qml_long *N,
           const qml_single_complex *AP, qml_single_complex *X, const qml_long *INCX);

void ztpmv(const char *UPLO, const char *TRANS, const char *DIAG, const qml_long *N,
           const qml_double_complex *AP, qml_double_complex *X, const qml_long *INCX);

CBLAS Interface¶

void cblas_stpmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const float *AP, float *X, const qml_long INCX);

void cblas_dtpmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, const double *AP, double *X, const qml_long INCX);

void cblas_ctpmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG, const qml_long N,
                 const qml_single_complex *AP, qml_single_complex *X,
                 const qml_long INCX);

void cblas_ztpmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG, const qml_long N,
                 const qml_double_complex *AP, 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: $x \assign A * x$
	Transpose: $x \assign \trans{A} * x$
	Complex Conjugate Transpose: $x \assign \herm{A} * x$
DIAG	Whether the diagonal is unit or not
N	Order of matrix A
AP	Matrix A stored in packed triangular form, must be at least: $\fvar{N}\mult(\fvar{N}+1)/2$
X	Vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
INCX	Distance between individual elements in X