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

NAME

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

SYNOPSIS

       SUBROUTINE CUPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

           CHARACTER      SIDE, TRANS, UPLO

           INTEGER        INFO, LDC, M, N

           COMPLEX        AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       CUPMTR overwrites the general complex M-by-N matrix C with
        TRANS = 'C':      Q**H * C       C * Q**H
        where Q is a complex unitary 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 CHPTRD 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**H from the Left;
                = 'R': apply Q or Q**H from the Right.

        UPLO    (input) CHARACTER*1
                = 'U': Upper triangular packed storage used in previous
                call to CHPTRD;
                = 'L': Lower triangular packed storage used in previous
                call to CHPTRD.

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

        AP      (input) COMPLEX 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 CHPTRD.  AP is modified by the routine but
                restored on exit.

        TAU     (input) COMPLEX 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 CHPTRD.

        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.

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

        WORK    (workspace) COMPLEX 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 3.3.1)             April 2011                            CUPMTR(3lapack)