clarf-f(3)

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 is INTEGER
 The number of rows of the matrix C.

 N is INTEGER
 The number of columns of the matrix C.

 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 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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