(S|D|C|Z)TBSV¶

Single, double, single complex, and double complex TBSV.

Description¶

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

$A\mult x = b$

or

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

or

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

BLAS Interface¶

void stbsv(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 dtbsv(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 ctbsv(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 ztbsv(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_stbsv(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_dtbsv(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_ctbsv(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_ztbsv(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 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
K	Number of super- or sub-diagonals of A, with $0 \le \fvar{K}$
A	Input matrix A
LDA	Leading dimension of matrix A, with $\fvar{LDA} \ge \fvar{K}+1$
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