clarf.f(3)

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)

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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