clarf(l) [redhat man page]

CLARF(l)								 )								  CLARF(l)

NAME

       CLARF - applie a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right

SYNOPSIS

       SUBROUTINE CLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )

	   CHARACTER	 SIDE

	   INTEGER	 INCV, LDC, M, N

	   COMPLEX	 TAU

	   COMPLEX	 C( LDC, * ), V( * ), 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'

       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' (the conjugate transpose of H), supply conjg(tau) instead tau.

ARGUMENTS

       SIDE    (input) CHARACTER*1
	       = 'L': form  H * C
	       = 'R': form  C * H

       M       (input) INTEGER
	       The number of rows of the matrix C.

       N       (input) INTEGER
	       The number of columns of the matrix C.

       V       (input) 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    (input) INTEGER
	       The increment between elements of v. INCV <> 0.

       TAU     (input) COMPLEX
	       The value tau in the representation of H.

       C       (input/output) 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     (input) INTEGER
	       The leading dimension of the array C. LDC >= max(1,M).

       WORK    (workspace) COMPLEX array, dimension
	       (N) if SIDE = 'L' or (M) if SIDE = 'R'

LAPACK version 3.0						   15 June 2000 							  CLARF(l)

clarf.f(3)							      LAPACK								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)
       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
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012							clarf.f(3)