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

NAME
       SRC/clarf.f

SYNOPSIS
   Functions/Subroutines
       subroutine clarf (side, m, n, v, incv, tau, c, ldc, work)
           CLARF applies an elementary reflector to a general rectangular
           matrix.

Function/Subroutine Documentation
   subroutine clarf (character side, integer m, integer n, complex, dimension(
       * ) v, integer incv, complex tau, complex, dimension( ldc, * ) c,
       integer ldc, complex, dimension( * ) work)
       CLARF applies an elementary reflector to a general rectangular matrix.

       Purpose:


            CLARF 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.

       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.

           V

                     V is COMPLEX array, dimension
                                (1 + (M-1)*abs(INCV)) if SIDE = 'L'
                             or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
                     The vector v in the representation of H. 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.

       Definition at line 127 of file clarf.f.

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

LAPACK                          Version 3.12.0                  SRC/clarf.f(3)