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sormr2 (3)
  • >> sormr2 (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sormr2 - overwrite the general real m by n matrix C with   Q
         *  C if SIDE = 'L' and TRANS = 'N', or   Q'* C if SIDE = 'L'
         and TRANS = 'T', or   C * Q if SIDE = 'R' and TRANS  =  'N',
         or   C * Q' if SIDE = 'R' and TRANS = 'T',
    
    SYNOPSIS
         SUBROUTINE SORMR2( SIDE, TRANS, M, N, K,  A,  LDA,  TAU,  C,
                   LDC, WORK, INFO )
    
         CHARACTER SIDE, TRANS
    
         INTEGER INFO, K, LDA, LDC, M, N
    
         REAL A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void sormr2(char side, char trans, int  m,  int  n,  int  k,
                   float  *sa,  int  lda,  float *tau, float *sc, int
                   ldc, int *info) ;
    
    PURPOSE
         SORMR2 overwrites the general real m by n matrix C with
    
         where Q is a real orthogonal matrix defined as  the  product
         of k elementary reflectors
    
               Q = H(1) H(2) . . . H(k)
    
         as returned by SGERQF. Q is of order m if SIDE = 'L' and  of
         order n if SIDE = 'R'.
    
    
    ARGUMENTS
         SIDE      (input) CHARACTER*1
                   = 'L': apply Q or Q' from the Left
                   = 'R': apply Q or Q' from the Right
    
         TRANS     (input) CHARACTER*1
                   = 'N': apply Q  (No transpose)
                   = 'T': apply Q' (Transpose)
    
         M         (input) INTEGER
                   The number of rows of the matrix C. M >= 0.
    
         N         (input) INTEGER
                   The number of columns of the matrix C. N >= 0.
    
         K         (input) INTEGER
                   The number of elementary reflectors whose  product
                   defines the matrix Q.  If SIDE = 'L', M >= K >= 0;
                   if SIDE = 'R', N >= K >= 0.
    
         A         (input) REAL array, dimension
                   (LDA,M) if SIDE = 'L', (LDA,N) if SIDE =  'R'  The
                   i-th row must contain the vector which defines the
                   elementary reflector H(i), for i =  1,2,...,k,  as
                   returned by SGERQF in the last k rows of its array
                   argument A.  A is  modified  by  the  routine  but
                   restored on exit.
    
         LDA       (input) INTEGER
                   The leading dimension  of  the  array  A.  LDA  >=
                   max(1,K).
    
         TAU       (input) REAL array, dimension (K)
                   TAU(i) must contain the scalar factor of the  ele-
                   mentary reflector H(i), as returned by SGERQF.
    
         C         (input/output) REAL array, dimension (LDC,N)
                   On entry, the m by n matrix  C.   On  exit,  C  is
                   overwritten by Q*C or Q'*C or C*Q' or C*Q.
    
         LDC       (input) INTEGER
                   The leading dimension  of  the  array  C.  LDC  >=
                   max(1,M).
    
         WORK      (workspace) REAL array, dimension
                   (N) if SIDE = 'L', (M) if SIDE = 'R'
    
         INFO      (output) INTEGER
                   = 0: successful exit
                   < 0: if INFO = -i, the i-th argument had an  ille-
                   gal value
    
    
    
    


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