stptrs (3p)

Name

stptrs - solve a triangular system of the form A*X = B or A**T*X = B, where A is a triangular matrix of order N stored in packed format, and B is an N-by-NRHS matrix

Synopsis

SUBROUTINE STPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER*1 UPLO, TRANSA, DIAG
INTEGER N, NRHS, LDB, INFO
REAL A(*), B(LDB,*)

SUBROUTINE STPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER*1 UPLO, TRANSA, DIAG
INTEGER*8 N, NRHS, LDB, INFO
REAL A(*), B(LDB,*)




F95 INTERFACE
SUBROUTINE TPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
INTEGER :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: A
REAL, DIMENSION(:,:) :: B

SUBROUTINE TPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
INTEGER(8) :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: A
REAL, DIMENSION(:,:) :: B




C INTERFACE
#include <sunperf.h>

void  stptrs(char  uplo, char transa, char diag, int n, int nrhs, float
*a, float *b, int ldb, int *info);

void stptrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
float *a, float *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           stptrs(3P)



NAME
       stptrs  -  solve a triangular system of the form A*X = B or A**T*X = B,
       where A is a triangular matrix of order N stored in packed format,  and
       B is an N-by-NRHS matrix


SYNOPSIS
       SUBROUTINE STPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER*1 UPLO, TRANSA, DIAG
       INTEGER N, NRHS, LDB, INFO
       REAL A(*), B(LDB,*)

       SUBROUTINE STPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER*1 UPLO, TRANSA, DIAG
       INTEGER*8 N, NRHS, LDB, INFO
       REAL A(*), B(LDB,*)




   F95 INTERFACE
       SUBROUTINE TPTRS(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       INTEGER :: N, NRHS, LDB, INFO
       REAL, DIMENSION(:) :: A
       REAL, DIMENSION(:,:) :: B

       SUBROUTINE TPTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, B, LDB, INFO)

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       INTEGER(8) :: N, NRHS, LDB, INFO
       REAL, DIMENSION(:) :: A
       REAL, DIMENSION(:,:) :: B




   C INTERFACE
       #include <sunperf.h>

       void  stptrs(char  uplo, char transa, char diag, int n, int nrhs, float
                 *a, float *b, int ldb, int *info);

       void stptrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
                 float *a, float *b, long ldb, long *info);



PURPOSE
       stptrs solves a triangular system of the form

       A * X = B or A**T * X = B

       where  A is a triangular matrix of order N stored in packed format, and
       B is an N-by-NRHS matrix.  A check is made to verify that A is  nonsin-
       gular.


ARGUMENTS
       UPLO (input)
                 = 'U':  A is upper triangular;
                 = 'L':  A is lower triangular.


       TRANSA (input)
                 Specifies the form of the system of equations:
                 = 'N':  A * X = B  (No transpose)
                 = 'T':  A**T * X = B  (Transpose)
                 = 'C':  A**H * X = B  (Conjugate transpose = Transpose)


       DIAG (input)
                 = 'N':  A is non-unit triangular;
                 = 'U':  A is unit triangular.


       N (input) The order of the matrix A.  N >= 0.


       NRHS (input)
                 The  number  of right hand sides, i.e., the number of columns
                 of the matrix B.  NRHS >= 0.


       A (input) REAL array, dimension (N*(N+1)/2)
                 The upper or lower triangular matrix A, packed columnwise  in
                 a  linear array.  The j-th column of A is stored in the array
                 A as follows: if UPLO = 'U', A(i + (j-1)*j/2)  =  A(i,j)  for
                 1<=i<=j;  if  UPLO = 'L', A(i + (j-1)*(2*n-j)/2) = A(i,j) for
                 j<=i<=n.


       B (input/output) REAL array,
                 On entry, the right hand side matrix B.  On exit, if  INFO  =
                 0, the solution matrix X.


       LDB (input)
                 The leading dimension of the array B.  LDB >= max(1,N).


       INFO (output)
                 = 0:  successful exit
                 < 0:  if INFO = -i, the i-th argument had an illegal value
                 >  0:   if  INFO = i, the i-th diagonal element of A is zero,
                 indicating that the matrix is singular and  the  solutions  X
                 have not been computed.




                                  7 Nov 2015                        stptrs(3P)