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

NAME

       LAPACK-3  - VECT = 'Q', CUNMBR overwrites the general complex M-by-N matrix C with  SIDE =
       'L' SIDE = 'R' TRANS = 'N'

SYNOPSIS

       SUBROUTINE CUNMBR( VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO )

           CHARACTER      SIDE, TRANS, VECT

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

           COMPLEX        A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       If VECT = 'Q', CUNMBR overwrites the general complex M-by-N matrix C with
                       SIDE = 'L'     SIDE = 'R' TRANS = 'N':      Q * C          C * Q
        TRANS = 'C':      Q**H * C       C * Q**H
        If VECT = 'P', CUNMBR overwrites the general complex M-by-N matrix C
        with
                        SIDE = 'L'     SIDE = 'R'
        TRANS = 'N':      P * C          C * P
        TRANS = 'C':      P**H * C       C * P**H
        Here Q and P**H are the unitary matrices determined by CGEBRD when
        reducing a complex matrix A to bidiagonal form: A = Q * B * P**H. Q
        and P**H are defined as products of elementary reflectors H(i) and
        G(i) respectively.
        Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Thus nq is the
        order of the unitary matrix Q or P**H that is applied.
        If VECT = 'Q', A is assumed to have been an NQ-by-K matrix:
        if nq >= k, Q = H(1) H(2) . . . H(k);
        if nq < k, Q = H(1) H(2) . . . H(nq-1).
        If VECT = 'P', A is assumed to have been a K-by-NQ matrix:
        if k < nq, P = G(1) G(2) . . . G(k);
        if k >= nq, P = G(1) G(2) . . . G(nq-1).

ARGUMENTS

        VECT    (input) CHARACTER*1
                = 'Q': apply Q or Q**H;
                = 'P': apply P or P**H.

        SIDE    (input) CHARACTER*1
                = 'L': apply Q, Q**H, P or P**H from the Left;
                = 'R': apply Q, Q**H, P or P**H from the Right.

        TRANS   (input) CHARACTER*1
                = 'N':  No transpose, apply Q or P;
                = 'C':  Conjugate transpose, apply Q**H or P**H.

        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
                If VECT = 'Q', the number of columns in the original
                matrix reduced by CGEBRD.
                If VECT = 'P', the number of rows in the original
                matrix reduced by CGEBRD.
                K >= 0.

        A       (input) COMPLEX array, dimension
                (LDA,min(nq,K)) if VECT = 'Q'
                (LDA,nq)        if VECT = 'P'
                The vectors which define the elementary reflectors H(i) and
                G(i), whose products determine the matrices Q and P, as
                returned by CGEBRD.

        LDA     (input) INTEGER
                The leading dimension of the array A.
                If VECT = 'Q', LDA >= max(1,nq);
                if VECT = 'P', LDA >= max(1,min(nq,K)).

        TAU     (input) COMPLEX array, dimension (min(nq,K))
                TAU(i) must contain the scalar factor of the elementary
                reflector H(i) or G(i) which determines Q or P, as returned
                by CGEBRD in the array argument TAUQ or TAUP.

        C       (input/output) COMPLEX 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
                or P*C or P**H*C or C*P or C*P**H.

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

        WORK    (workspace/output) COMPLEX 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);
                if N = 0 or M = 0, LWORK >= 1.
                For optimum performance LWORK >= max(1,N*NB) if SIDE = 'L',
                and LWORK >= max(1,M*NB) if SIDE = 'R', where NB is the
                optimal blocksize. (NB = 0 if M = 0 or N = 0.)
                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 3.2)               April 2011                            CUNMBR(3lapack)