ztrtrs (3p)

Name

ztrtrs - solve a triangular system of the form A*X = B, A**T*X = B, or A**H*X = B, where A is a triangular matrix of order N, and B is an N- by-NRHS matrix

Synopsis

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

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

SUBROUTINE ZTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
INFO)

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




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

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

SUBROUTINE TRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
INFO)

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




C INTERFACE
#include <sunperf.h>

void ztrtrs(char uplo, char transa, char diag, int n, int nrhs, double-
complex *a, int lda, doublecomplex *b, int ldb, int *info);

void ztrtrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
doublecomplex  *a, long lda, doublecomplex *b, long ldb, long
*info);

Description

Oracle Solaris Studio Performance Library                           ztrtrs(3P)



NAME
       ztrtrs  - solve a triangular system of the form A*X = B, A**T*X = B, or
       A**H*X = B, where A is a triangular matrix of order N, and B is  an  N-
       by-NRHS matrix


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

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

       SUBROUTINE ZTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
             INFO)

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




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

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

       SUBROUTINE TRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
              INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void ztrtrs(char uplo, char transa, char diag, int n, int nrhs, double-
                 complex *a, int lda, doublecomplex *b, int ldb, int *info);

       void ztrtrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
                 doublecomplex  *a, long lda, doublecomplex *b, long ldb, long
                 *info);



PURPOSE
       ztrtrs solves a triangular system of the form

       A * X = B, A**T * X = B, or A**H * X = B

       where A is a triangular matrix of  order  N,  and  B  is  an  N-by-NRHS
       matrix.  A check is made to verify that A is nonsingular.


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)


       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) The triangular matrix A.  If UPLO = 'U', the  leading  N-by-N
                 upper  triangular part of the array A contains the upper tri-
                 angular matrix, and the strictly lower triangular part  of  A
                 is  not  referenced.  If UPLO = 'L', the leading N-by-N lower
                 triangular part of the array A contains the lower  triangular
                 matrix,  and  the  strictly upper triangular part of A is not
                 referenced.  If DIAG = 'U', the diagonal elements  of  A  are
                 also not referenced and are assumed to be 1.


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


       B (input/output)
                 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                        ztrtrs(3P)