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ztrtrs (3)
  • >> ztrtrs (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ztrtrs - solve a triangular system of the form   A * X =  B,
         A**T * X = B, or A**H * X = B,
    
    SYNOPSIS
         SUBROUTINE ZTRTRS( UPLO, TRANS, DIAG, N, NRHS,  A,  LDA,  B,
                   LDB, INFO )
    
         CHARACTER DIAG, TRANS, UPLO
    
         INTEGER INFO, LDA, LDB, N, NRHS
    
         COMPLEX*16 A( LDA, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void ztrtrs(char uplo, char trans, char  diag,  int  n,  int
                   nrhs,  doublecomplex  *za,  int lda, doublecomplex
                   *zb, int ldb, int *info) ;
    
    PURPOSE
         ZTRTRS solves a triangular system of the form
    
         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 non-
         singular.
    
    
    ARGUMENTS
         UPLO      (input) CHARACTER*1
                   = 'U':  A is upper triangular;
                   = 'L':  A is lower triangular.
    
         TRANS     (input) CHARACTER*1
                   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) CHARACTER*1
                   = 'N':  A is non-unit triangular;
                   = 'U':  A is unit triangular.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         NRHS      (input) INTEGER
                   The number of right hand sides, i.e.,  the  number
                   of columns of the matrix B.  NRHS >= 0.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The triangular matrix A.  If UPLO = 'U', the lead-
                   ing  N-by-N  upper  triangular part of the array A
                   contains the  upper  triangular  matrix,  and  the
                   strictly  lower triangular part of A is not refer-
                   enced.  If UPLO = 'L', the  leading  N-by-N  lower
                   triangular  part of the array A contains the lower
                   triangular matrix, and the strictly upper triangu-
                   lar  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) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         B         (input/output)   COMPLEX*16    array,    dimension
                   (LDB,NRHS)
                   On entry, the right hand side matrix B.  On  exit,
                   if INFO = 0, the solution matrix X.
    
         LDB       (input) INTEGER
                   The leading dimension of  the  array  B.   LDB  >=
                   max(1,N).
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0: if INFO = -i, the i-th argument had an  ille-
                   gal 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.
    
    
    
    


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