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


       LAPACK-3  - overwrites the general real M-by-N matrix C with   SIDE = 'L' SIDE = 'R' TRANS
       = 'N'



           CHARACTER      SIDE, TRANS

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

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


       DORMQR 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 DGEQRF. Q is of order M if SIDE = 'L' and of order N
        if SIDE = 'R'.


        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.

        A       (input) DOUBLE PRECISION array, dimension (LDA,K)
                The i-th column must contain the vector which defines the
                elementary reflector H(i), for i = 1,2,...,k, as returned by
                DGEQRF in the first k columns 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.
                If SIDE = 'L', LDA >= max(1,M);
                if SIDE = 'R', LDA >= max(1,N).

        TAU     (input) DOUBLE PRECISION array, dimension (K)
                TAU(i) must contain the scalar factor of the elementary
                reflector H(i), as returned by DGEQRF.

        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**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) 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
                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

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