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sopmtr (3)
  • >> sopmtr (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sopmtr - overwrite the general real  M-by-N  matrix  C  with
         SIDE = 'L' SIDE = 'R' TRANS = 'N'
    
    SYNOPSIS
         SUBROUTINE SOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC,
                   WORK, INFO )
    
         CHARACTER SIDE, TRANS, UPLO
    
         INTEGER INFO, LDC, M, N
    
         REAL AP( * ), C( LDC, * ), TAU( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void sopmtr(char side, char uplo, char trans, int m, int  n,
                   float  *sap,  float  *tau, float *sc, int ldc, int
                   *info) ;
    
    PURPOSE
         SOPMTR 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 nq-1 elementary reflectors, as returned by SSPTRD
         using packed storage:
    
         if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);
    
         if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).
    
    
    ARGUMENTS
         SIDE      (input) CHARACTER*1
                   = 'L': apply Q or Q**T from the Left;
                   = 'R': apply Q or Q**T from the Right.
    
         UPLO      (input) CHARACTER*1
                   = 'U': Upper triangular  packed  storage  used  in
                   previous  call  to SSPTRD; = 'L': Lower triangular
                   packed storage used in previous call to SSPTRD.
    
         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.
    
         AP        (input) REAL array, dimension
                   (M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2)  if  SIDE  =
                   'R'   The  vectors  which  define  the  elementary
                   reflectors, as returned by SSPTRD.  AP is modified
                   by the routine but restored on exit.
    
         TAU       (input) REAL array, dimension (M-1) if SIDE = 'L'
                   or (N-1) if SIDE = 'R'  TAU(i)  must  contain  the
                   scalar factor of the elementary reflector H(i), as
                   returned by SSPTRD.
    
         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) 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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