ctrtrs (3p)

Name

ctrtrs - 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 CTRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO)

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

SUBROUTINE CTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
INFO)

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




C INTERFACE
#include <sunperf.h>

void ctrtrs(char uplo, char transa, char diag, int n, int nrhs, complex
*a, int lda, complex *b, int ldb, int *info);

void ctrtrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
complex *a, long lda, complex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           ctrtrs(3P)



NAME
       ctrtrs  - 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 CTRTRS(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB, INFO)

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

       SUBROUTINE CTRTRS_64(UPLO, TRANSA, DIAG, N, NRHS, A, LDA, B, LDB,
             INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void ctrtrs(char uplo, char transa, char diag, int n, int nrhs, complex
                 *a, int lda, complex *b, int ldb, int *info);

       void ctrtrs_64(char uplo, char transa, char diag, long  n,  long  nrhs,
                 complex *a, long lda, complex *b, long ldb, long *info);



PURPOSE
       ctrtrs 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                        ctrtrs(3P)