(S|D|C|Z)TPSV¶

Single, double, single complex, and double complex TPSV.

Description¶

Solves one of the following systems of equations for packed banded triangle A:

$A\mult x = b$

or

$\trans{A}\mult x = b$

or

$\herm{A}\mult x = b$

BLAS Interface¶

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

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

void ctpsv(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 ztpsv(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_stpsv(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_dtpsv(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_ctpsv(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_ztpsv(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 equation is solved:
	Non-Transpose: $A\mult x = b$
	Transpose: $\trans{A}\mult x = b$
	Complex Conjugate Transpose: $\herm{A}\mult x = b$
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	Input vector, must be at least: $(\fvar{N}-1)\mult\abs{\fvar{INCX}} + 1$
	On output, overwritten with solution vector
INCX	Distance between individual elements in X