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ztrsv (3)
  • >> ztrsv (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ztrsv - solve one of the systems of equations A*x  =  b,  or
         A'*x = b, or conjg( A' )*x = b
    
    SYNOPSIS
         SUBROUTINE ZTRSV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )
    
         INTEGER INCX, LDA, N
    
         CHARACTER*1 DIAG, TRANS, UPLO
    
         COMPLEX*16 A( LDA, * ), X( * )
    
    
    
         #include <sunperf.h>
    
         void ztrsv(char uplo, char trans, char diag,  int  n,  doub-
                   lecomplex  *za,  int  lda,  doublecomplex *zx, int
                   incx) ;
    
    PURPOSE
         ZTRSV  solves one of the systems of equations A*x  =  b,  or
         A'*x  = b, or conjg( A' )*x = b, where b and x are n element
         vectors and A is an n by n unit, or non-unit, upper or lower
         triangular matrix.
    
         No test for singularity or near-singularity is  included  in
         this  routine.  Such  tests must be performed before calling
         this routine.
    
    
    PARAMETERS
         UPLO      - CHARACTER*1.
                   On entry, UPLO specifies whether the matrix is  an
                   upper or lower triangular matrix as follows:
    
                   UPLO = 'U' or  'u'    A  is  an  upper  triangular
                   matrix.
    
                   UPLO = 'L'  or  'l'    A  is  a  lower  triangular
                   matrix.
    
                   Unchanged on exit.
    
         TRANS     - CHARACTER*1.
                   On entry, TRANS  specifies  the  equations  to  be
                   solved as follows:
    
                   TRANS = 'N' or 'n'   A*x = b.
    
                   TRANS = 'T' or 't'   A'*x = b.
                   TRANS = 'C' or 'c'   conjg( A' )*x = b.
    
                   Unchanged on exit.
    
         DIAG      - CHARACTER*1.
                   On entry, DIAG specifies whether or not A is  unit
                   triangular as follows:
    
                   DIAG = 'U' or 'u'   A is assumed to be  unit  tri-
                   angular.
    
                   DIAG = 'N' or 'n'   A is not assumed  to  be  unit
                   triangular.
    
                   Unchanged on exit.
    
         N         - INTEGER.
                   On entry, N specifies the order of the  matrix  A.
                   N must be at least zero.  Unchanged on exit.
    
         A         - COMPLEX*16       array of DIMENSION ( LDA, n ).
                   Before entry with  UPLO = 'U' or 'u', the  leading
                   n  by  n upper triangular part of the array A must
                   contain  the  upper  triangular  matrix  and   the
                   strictly  lower triangular part of A is not refer-
                   enced.  Before entry with UPLO = 'L' or  'l',  the
                   leading  n by n lower triangular part of the array
                   A must contain the lower triangular matrix and the
                   strictly  upper triangular part of A is not refer-
                   enced.  Note that when  DIAG =  'U'  or  'u',  the
                   diagonal  elements of A are not referenced either,
                   but are assumed to be unity.  Unchanged on exit.
    
         LDA       - INTEGER.
                   On entry, LDA specifies the first dimension  of  A
                   as declared in the calling (sub) program. LDA must
                   be at least max( 1, n ).  Unchanged on exit.
    
         X         - COMPLEX*16       array of dimension at least
                   ( 1 + ( n - 1 )*abs( INCX ) ).  Before entry,  the
                   incremented  array  X  must  contain the n element
                   right-hand side vector b. On exit, X is  overwrit-
                   ten with the solution vector x.
    
         INCX      - INTEGER.
                   On entry, INCX specifies  the  increment  for  the
                   elements  of  X. INCX must not be zero.  Unchanged
                   on exit.
    
    
    
    


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