Documentation
Rate This Document
Findability
Accuracy
Completeness
Readability
SubmitClose

?tpsv

That is, , , or . b and x are vectors including n elements each, and A is an n*n unit/non-unit, triangular expanded matrix.

Interface Definition

C interface:

void cblas_stpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const BLASINT N, const float *Ap, float *X, const BLASINT incX);

void cblas_dtpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const BLASINT N, const double *Ap, double *X, const BLASINT incX);

void cblas_ctpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const BLASINT N, const void *Ap, void *X, const BLASINT incX);

void cblas_ztpsv(const enum CBLAS_ORDER order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE TransA, const enum CBLAS_DIAG Diag, const BLASINT N, const void *Ap, void *X, const BLASINT incX);

Fortran interface:

CALL STPSV(UPLO, TRANS, DIAG, N, AP, X, INCX)

CALL DTPSV(UPLO, TRANS, DIAG, N, AP, X, INCX)

CALL CTPSV(UPLO, TRANS, DIAG, N, AP, X, INCX)

CALL ZTPSV(UPLO, TRANS, DIAG, N, AP, X, INCX)

Parameters

Parameter

Type

Description

Input/Output

order

Enumeration type CBLAS_ORDER

Indicates whether the matrix is in row- or column-major order.

Input

Uplo

Enumeration type CBLAS_UPLO

Indicates the storage expansion mode of matrix A (upper triangle or lower triangle).

  • If Uplo = CblasUpper, the upper triangle of A is used for expansion.
  • If Uplo = CblasLower, the lower triangle of A is used for expansion.

Input

TransA

Enumeration type CBLAS_TRANSPOSE

Indicates whether matrix A is a conventional matrix, a transpose matrix, or a conjugate matrix.

  • If trans = CblasNoTrans, then .
  • If trans = CblasTrans, then .
  • If trans = CblasConjTrans, then .

Input

Diag

Enumeration type CBLAS_DIAG

Indicates whether A is a unit trigonometric matrix.

  • If Diag = CblasUnit, A is a unit triangular matrix.
  • If Diag = CblasNonUnit, A is not a unit triangular matrix.

Input

N

Integer

Order of the matrix A. N must be greater than or equal to 0.

Input

Ap
  • Single-precision floating-point type for stpsv
  • Double-precision floating-point type for dtpsv
  • Single-precision complex type for ctpsv
  • Double-precision complex type for ztpsv

The size of a packed triangular matrix is at least (N*(N+1)/2).

Input

X
  • Single-precision floating-point type for stpsv
  • Double-precision floating-point type for dtpsv
  • Single-precision complex type for ctpsv
  • Double-precision complex type for ztpsv

Vector X. The vector scale is at least (1+(N-1)*abs(incX)).

The output is updated after the equation is solved.

Input/Output

incX

Integer

Increment for elements in X. The value cannot be 0.

Input

Dependency

#include "kblas.h"

Examples

C interface:

    int  n = 4,incx = 1; 
    float x[4] = {4.0, 3.0, 2.0, 1.0}; 
    /** 
     *        |  1.0 1.0  1.0  3.0 | 
     * A   =  |  .   3.0  3.0  2.0 | 
     *        |  .    .   2.0  3.0 | 
     *        |  .    .    .   1.0 | 
     */ 
    float ap[10] = {1.0, 1.0, 3.0, 1.0, 3.0, 2.0, 3.0, 2.0, 3.0, 1.0}; 
 
    cblas_stpsv(CblasColMajor, CblasUpper, CblasTrans, CblasNonUnit, n, ap, x, incx); 
    /** 
     * Output x = |4.000000, -0.333333, -0.500000, -8.833333| 
     */

Fortran interface:

      INTEGER :: N=4, INCX=1 
      REAL(4) :: X(4), AP(10) 
      DATA X/4.0, 3.0, 2.0, 1.0/ 
      DATA AP/1.0, 1.0, 3.0, 1.0, 3.0, 2.0, 3.0, 2.0, 3.0, 1.0/ 
      EXTERNAL STPSV 
      CALL STPSV('U', 'T', 'N', N, AP, X, INCX) 
 
*     Output X = |4.000000, -0.333333, -0.500000, -8.833333|