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dormrq (3)
  • >> dormrq (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dormrq - overwrite the general real  M-by-N  matrix  C  with
         SIDE = 'L' SIDE = 'R' TRANS = 'N'
    
    SYNOPSIS
         SUBROUTINE DORMRQ( SIDE, TRANS, M, N, K,  A,  LDA,  TAU,  C,
                   LDC, WORK, LWORK, INFO )
    
         CHARACTER SIDE, TRANS
    
         INTEGER INFO, K, LDA, LDC, LWORK, M, N
    
         DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( *  ),  WORK(
                   LWORK )
    
    
    
         #include <sunperf.h>
    
         void dormrq(char side, char trans, int m, int n, int k, dou-
                   ble  *da,  int  lda,  double *tau, double *dc, int
                   ldc, int *info) ;
    
    PURPOSE
         DORMRQ overwrites the general  real  M-by-N  matrix  C  with
         TRANS = 'T':      Q**T * C       C * Q**T
    
         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 DGERQF. 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**T from the Left;
                   = 'R': apply Q or Q**T from the Right.
    
         TRANS     (input) CHARACTER*1
                   = 'N':  No transpose, apply Q;
                   = 'T':  Transpose, apply Q**T.
    
         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) DOUBLE PRECISION 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 DGERQF 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) DOUBLE PRECISION array, dimension (K)
                   TAU(i) must contain the scalar factor of the  ele-
                   mentary reflector H(i), as returned by DGERQF.
    
         C         (input/output) DOUBLE PRECISION  array,  dimension
                   (LDC,N)
                   On entry, the M-by-N matrix  C.   On  exit,  C  is
                   overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
    
         LDC       (input) INTEGER
                   The leading dimension  of  the  array  C.  LDC  >=
                   max(1,M).
    
         WORK      (workspace/output) DOUBLE PRECISION array,  dimen-
                   sion (LWORK)
                   On exit, if INFO = 0, WORK(1) returns the  optimal
                   LWORK.
    
         LWORK     (input) INTEGER
                   The dimension of the array WORK.  If SIDE  =  'L',
                   LWORK  >=  max(1,N);  if  SIDE  =  'R',  LWORK  >=
                   max(1,M).  For optimum performance LWORK  >=  N*NB
                   if  SIDE  =  'L', and LWORK >= M*NB if SIDE = 'R',
                   where NB is the optimal blocksize.
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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