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

SRC/clarfx.f


subroutine clarfx (side, m, n, v, tau, c, ldc, work)
CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Purpose:

 CLARFX 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
 This version uses inline code if H has order < 11.

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 (M) if SIDE = 'L'
                                        or (N) if SIDE = 'R'
          The vector v in the representation of H.

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'
          WORK is not referenced if H has order < 11.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 118 of file clarfx.f.

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