Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3  - overwrites 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

 LAPACK routine (version 3.2)               April 2011                            SOPMTR(3lapack)