Function

cblas_stbsv

Solves a triangular banded system of equations.

Declaration

void cblas_stbsv(const enum CBLAS_ORDER __Order, const enum CBLAS_UPLO __Uplo, const enum CBLAS_TRANSPOSE __TransA, const enum CBLAS_DIAG __Diag, const int __N, const int __K, const float *__A, const int __lda, float *__X, const int __incX);

Parameters

Order

Specifies row-major (C) or column-major (Fortran) data ordering.

Uplo

Specifies whether to use the upper or lower triangle from the matrix. Valid values are 'U' or 'L'.

TransA

Specifies whether to use matrix A ('N' or 'n') or the transpose of A ('T', 't', 'C', or 'c').

Diag

Specifies whether the matrix is unit triangular. Possible values are 'U' (unit triangular) or 'N' (not unit triangular).

N

Order of matrix A.

K

Number of superdiagonals or subdiagonals of matrix A (depending on the value of Uplo).

A

Triangular matrix A.

lda

The leading dimension of matrix A.

X

Contains vector B on entry. Overwritten with vector X on return.

incX

Stride within X. For example, if incX is 7, every 7th element is used.

Discussion

Solves the system of equations A*X=B or A'*X=B, depending on the value of TransA.

See Also

Single-Precision Float Matrix Functions

cblas_sasum

Computes the sum of the absolute values of elements in a vector (single-precision).

cblas_saxpy

Computes a constant times a vector plus a vector (single-precision).

cblas_scopy

Copies a vector to another vector (single-precision).

cblas_sgbmv

Scales a general band matrix, then multiplies by a vector, then adds a vector (single precision).

cblas_sgemm

Multiplies two matrices (single-precision).

cblas_sgemv

Multiplies a matrix by a vector (single precision).

cblas_sger

Multiplies vector X by the transpose of vector Y, then adds matrix A (single precison).

cblas_snrm2

Computes the L2 norm (Euclidian length) of a vector (single precision).

cblas_srot

Applies a Givens rotation matrix to a pair of vectors.

cblas_srotg

Constructs a Givens rotation matrix.

cblas_srotm

Applies a modified Givens transformation (single precision).

cblas_srotmg

Generates a modified Givens rotation matrix.

cblas_ssbmv

Scales a symmetric band matrix, then multiplies by a vector, then adds a vector (single-precision).

cblas_sscal

Multiplies each element of a vector by a constant (single-precision).

cblas_sspmv

Scales a packed symmetric matrix, then multiplies by a vector, then scales and adds another vector (single precision).

cblas_sspr

Rank one update: adds a packed symmetric matrix to the product of a scaling factor, a vector, and its transpose (single precision).

cblas_sspr2

Rank two update of a packed symmetric matrix using two vectors (single precision).

cblas_sswap

Exchanges the elements of two vectors (single precision).

cblas_ssymm

Multiplies a matrix by a symmetric matrix (single-precision).

cblas_ssymv

Scales a symmetric matrix, multiplies by a vector, then scales and adds another vector (single precision).

cblas_ssyr

Rank one update: adds a symmetric matrix to the product of a scaling factor, a vector, and its transpose (single precision).

cblas_ssyr2

Rank two update of a symmetric matrix using two vectors (single precision).

cblas_ssyr2k

Performs a rank-2k update of a symmetric matrix (single precision).

cblas_ssyrk

Rank-k update—multiplies a symmetric matrix by its transpose and adds a second matrix (single precision).

cblas_stbmv

Scales a triangular band matrix, then multiplies by a vector (single precision).

cblas_stpmv

Multiplies a triangular matrix by a vector, then adds a vector (single precision).

cblas_stpsv

Solves a packed triangular system of equations.

cblas_strmm

Scales a triangular matrix and multiplies it by a matrix.

cblas_strmv

Multiplies a triangular matrix by a vector.

cblas_strsm

Solves a triangular system of equations with multiple values for the right side.

cblas_strsv

Solves a triangular system of equations with a single value for the right side.