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ctpsv (3)
  • >> ctpsv (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ctpsv - solve one of the systems of equations   A*x = b,  or
         A'*x = b, or conjg( A' )*x = b
    
    SYNOPSIS
         SUBROUTINE CTPSV ( UPLO, TRANS, DIAG, N, AP, X, INCX )
    
         INTEGER INCX, N
    
         CHARACTER*1 DIAG, TRANS, UPLO
    
         COMPLEX AP( * ), X( * )
    
    
    
         #include <sunperf.h>
    
         void ctpsv(char uplo, char trans, char diag, int n,  complex
                   *cap, complex *cx, int incx) ;
    
    PURPOSE
         CTPSV  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, supplied in packed form.
    
         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.
    
         AP        - COMPLEX          array of DIMENSION at least
                   ( ( n*( n + 1 ) )/2 ).  Before entry with  UPLO  =
                   'U'  or  'u',  the array AP must contain the upper
                   triangular matrix packed sequentially,  column  by
                   column,  so that AP( 1 ) contains a( 1, 1 ), AP( 2
                   ) and AP( 3 ) contain a( 1, 2 )  and  a(  2,  2  )
                   respectively, and so on.  Before entry with UPLO =
                   'L' or 'l', the array AP must  contain  the  lower
                   triangular  matrix  packed sequentially, column by
                   column, so that AP( 1 ) contains a( 1, 1 ), AP(  2
                   )  and  AP(  3  )  contain a( 2, 1 ) and a( 3, 1 )
                   respectively, and so on.  Note that when   DIAG  =
                   'U'  or  'u',  the  diagonal elements of A are not
                   referenced,  but  are   assumed   to   be   unity.
                   Unchanged on exit.
    
         X         - COMPLEX          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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