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sormhr (3)
  • >> sormhr (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sormhr - overwrite the general real  M-by-N  matrix  C  with
         SIDE = 'L' SIDE = 'R' TRANS = 'N'
    
    SYNOPSIS
         SUBROUTINE SORMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU,
                   C, LDC, WORK, LWORK, INFO )
    
         CHARACTER SIDE, TRANS
    
         INTEGER IHI, ILO, INFO, LDA, LDC, LWORK, M, N
    
         REAL A( LDA, * ), C( LDC, * ), TAU( * ), WORK( LWORK )
    
    
    
         #include <sunperf.h>
    
         void sormhr(char side, char trans, int m, int  n,  int  ilo,
                   int  ihi,  float  *sa,  int lda, float *tau, float
                   *sc,
                    int ldc, int *info) ;
    
    PURPOSE
         SORMHR 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 of order nq, with nq = m
         if  SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the
         product of IHI-ILO elementary  reflectors,  as  returned  by
         SGEHRD:
    
         Q = H(ilo) H(ilo+1) . . . H(ihi-1).
    
    
    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.
    
         ILO       (input) INTEGER
                   IHI     (input) INTEGER ILO and IHI must have  the
                   same  values  as in the previous call of SGEHRD. Q
                   is equal to the unit matrix except in  the  subma-
                   trix  Q(ilo+1:ihi,ilo+1:ihi).  If SIDE = 'L', then
                   1 <= ILO <= IHI <= M, if M > 0, and ILO  =  1  and
                   IHI = 0, if M = 0; if SIDE = 'R', then 1 <= ILO <=
                   IHI <= N, if N > 0, and ILO = 1 and IHI = 0, if  N
                   = 0.
    
         A         (input) REAL array, dimension
                   (LDA,M) if SIDE = 'L' (LDA,N) if SIDE  =  'R'  The
                   vectors which define the elementary reflectors, as
                   returned by SGEHRD.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,M)  if SIDE = 'L'; LDA >= max(1,N) if SIDE =
                   'R'.
    
         TAU       (input) REAL array, dimension
                   (M-1) if SIDE = 'L' (N-1) if  SIDE  =  'R'  TAU(i)
                   must  contain  the scalar factor of the elementary
                   reflector H(i), as returned by SGEHRD.
    
         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**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) REAL array, dimension (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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