NAME

       zlarz.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
           ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

Function/Subroutine Documentation

   subroutine zlarz (character SIDE, integer M, integer N, integer L, complex*16, dimension( * )
       V, integer INCV, complex*16 TAU, complex*16, dimension( ldc, * ) C, integer LDC,
       complex*16, dimension( * ) WORK)
       ZLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

       Purpose:

            ZLARZ applies a complex elementary reflector H to a complex
            M-by-N matrix C, from either the left or the right. H is represented
            in the form

                  H = I - tau * v * v**H

            where tau is a complex scalar and v is a complex vector.

            If tau = 0, then H is taken to be the unit matrix.

            To apply H**H (the conjugate transpose of H), supply conjg(tau) instead
            tau.

            H is a product of k elementary reflectors as returned by ZTZRZF.

       Parameters:
           SIDE

                     SIDE is CHARACTER*1
                     = 'L': form  H * C
                     = 'R': form  C * H

           M

                     M is INTEGER
                     The number of rows of the matrix C.

           N

                     N is INTEGER
                     The number of columns of the matrix C.

           L

                     L is INTEGER
                     The number of entries of the vector V containing
                     the meaningful part of the Householder vectors.
                     If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.

           V

                     V is COMPLEX*16 array, dimension (1+(L-1)*abs(INCV))
                     The vector v in the representation of H as returned by
                     ZTZRZF. V is not used if TAU = 0.

           INCV

                     INCV is INTEGER
                     The increment between elements of v. INCV <> 0.

           TAU

                     TAU is COMPLEX*16
                     The value tau in the representation of H.

           C

                     C is COMPLEX*16 array, dimension (LDC,N)
                     On entry, the M-by-N matrix C.
                     On exit, C is overwritten by the matrix H * C if SIDE = 'L',
                     or C * H if SIDE = 'R'.

           LDC

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

           WORK

                     WORK is COMPLEX*16 array, dimension
                                    (N) if SIDE = 'L'
                                 or (M) if SIDE = 'R'

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

       Contributors:
           A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

       Further Details:

Author

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