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 DORMRZ( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO )

           CHARACTER      SIDE, TRANS

           INTEGER        INFO, K, L, LDA, LDC, LWORK, M, N

           DOUBLE         PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       DORMRZ 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 DTZRZF. 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.

        L       (input) INTEGER
                The number of columns of the matrix A containing
                the meaningful part of the Householder reflectors.
                If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 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
                DTZRZF 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 elementary
                reflector H(i), as returned by DTZRZF.

        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**H*C or C*Q**H or C*Q.

        LDC     (input) INTEGER
                The leading dimension of the array C. LDC >= max(1,M).

        WORK    (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,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.
                If LWORK = -1, then a workspace query is assumed; the routine
                only calculates the optimal size of the WORK array, returns
                this value as the first entry of the WORK array, and no error
                message related to LWORK is issued by XERBLA.

        INFO    (output) INTEGER
                = 0:  successful exit
                < 0:  if INFO = -i, the i-th argument had an illegal value

FURTHER DETAILS

        Based on contributions by
          A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

 LAPACK routine (version 3.3.1)             April 2011                            DORMRZ(3lapack)