sopmtr(3F)

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( * )

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 illegal value