SRC/clarz.f(3)             Library Functions Manual             SRC/clarz.f(3)

NAME
       SRC/clarz.f

SYNOPSIS
   Functions/Subroutines
       subroutine clarz (side, m, n, l, v, incv, tau, c, ldc, work)
           CLARZ applies an elementary reflector (as returned by stzrzf) to a
           general matrix.

Function/Subroutine Documentation
   subroutine clarz (character side, integer m, integer n, integer l, complex,
       dimension( * ) v, integer incv, complex tau, complex, dimension( ldc, *
       ) c, integer ldc, complex, dimension( * ) work)
       CLARZ applies an elementary reflector (as returned by stzrzf) to a
       general matrix.

       Purpose:


            CLARZ 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 CTZRZF.

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

           INCV

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

           TAU

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

           C

                     C is COMPLEX 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 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.

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

       Further Details:




       Definition at line 146 of file clarz.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                  SRC/clarz.f(3)