(S|D|C|Z)TRMV¶

Single, double, single complex, and double complex TRMV.

Description¶

Computes a triangle matrix-vector product.

$x \assign A * x$

or

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

or

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

BLAS Interface¶

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

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

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

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

CBLAS Interface¶

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

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

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

void cblas_ztrmv(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const CBLAS_DIAG DIAG,
                 const qml_long N, 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: $x \assign A * x$
	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
A	Input matrix A
LDA	Leading dimension of matrix A
X	Vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
INCX	Distance between individual elements in X