clarf.f (3) Linux Manual Page

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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