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strsm (3)
  • >> strsm (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         strsm - solve one of the matrix  equations    op(  A  )*X  =
         alpha*B, or X*op( A ) = alpha*B
    
    SYNOPSIS
         SUBROUTINE STRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A,
                   LDA, B, LDB )
    
         CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
    
         INTEGER M, N, LDA, LDB
    
         REAL ALPHA
    
         REAL A( LDA, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void strsm(char side, char uplo, char transa, char diag, int
                   m,  int  n, float alpha, float *sa, int lda, float
                   *sb, int ldb) ;
    
    PURPOSE
         STRSM  solves one of  the  matrix  equations  op(  A  )*X  =
         alpha*B,  or  X*op( A ) = alpha*B where alpha is a scalar, X
         and B are m by n matrices, A is a unit, or non-unit,   upper
         or lower triangular matrix  and  op( A )  is one  of
    
            op( A ) = A   or   op( A ) = A'.
    
         The matrix X is overwritten on B.
    
    
    PARAMETERS
         SIDE      - CHARACTER*1.
                   On entry, SIDE specifies whether op( A  )  appears
                   on the left or right of X as follows:
    
                   SIDE = 'L' or 'l'   op( A )*X = alpha*B.
    
                   SIDE = 'R' or 'r'   X*op( A ) = alpha*B.
    
                   Unchanged on exit.
    
         UPLO      - CHARACTER*1.
                   On entry, UPLO specifies whether the matrix  A  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.
    
                   TRANSA - CHARACTER*1.  On entry, TRANSA  specifies
                   the  form of op( A ) to be used in the matrix mul-
                   tiplication as follows:
    
                   TRANSA = 'N' or 'n'   op( A ) = A.
    
                   TRANSA = 'T' or 't'   op( A ) = A'.
    
                   TRANSA = 'C' or 'c'   op( A ) = A'.
    
                   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.
    
         M         - INTEGER.
                   On entry, M specifies the number of rows of  B.  M
                   must be at least zero.  Unchanged on exit.
    
         N         - INTEGER.
                   On entry, N specifies the number of columns of  B.
                   N must be at least zero.  Unchanged on exit.
    
         ALPHA     - REAL.
                   On entry,  ALPHA specifies the scalar  alpha. When
                   alpha  is  zero  then   A is not referenced and  B
                   need not be set before entry.  Unchanged on exit.
    
         A         - REAL array of DIMENSION ( LDA, k ), where k is m
                   when  SIDE = 'L' or 'l'  and is  n  when   SIDE  =
                   'R' or 'r'.
                   Before entry  with  UPLO = 'U' or 'u',  the  lead-
                   ing   k by k 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  lead-
                   ing   k by k 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.  When
                   SIDE = 'L' or 'l'  then  LDA   must  be  at  least
                   max(  1,  m  ),   when  SIDE = 'R' or 'r' then LDA
                   must be at least max( 1, n ).  Unchanged on exit.
    
         B         - REAL array of DIMENSION ( LDB, n ).
                   Before entry,  the leading  m by  n  part  of  the
                   array   B  must  contain   the   right-hand   side
                   matrix  B,  and  on exit  is  overwritten  by  the
                   solution matrix  X.
    
         LDB       - INTEGER.
                   On entry, LDB specifies the first dimension  of  B
                   as  declared  in   the   calling   (sub)  program.
                   LDB  must  be  at  least max( 1, m  ).   Unchanged
                   on exit.
    
    
    
    


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