NAME

       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 (characterSIDE, integerM, integerN, complex, dimension( * )V, integerINCV,
       complexTAU, complex, dimension( ldc, * )C, integerLDC, 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.

       Date:
           September 2012

       Definition at line 129 of file clarf.f.

Author

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