zlarf.f(3) [centos man page]

zlarf.f(3)							      LAPACK								zlarf.f(3)

NAME

       zlarf.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
	   ZLARF applies an elementary reflector to a general rectangular matrix.

Function/Subroutine Documentation
   subroutine zlarf (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C,
       integerLDC, complex*16, dimension( * )WORK)
       ZLARF applies an elementary reflector to a general rectangular matrix.

       Purpose:

	    ZLARF 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, 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*16 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*16
		     The value tau in the representation of H.

	   C

		     C is COMPLEX*16 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*16 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 zlarf.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

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

Check Out this Related Man Page

ZLARF(l)								 )								  ZLARF(l)

NAME

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

SYNOPSIS

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

	   CHARACTER	 SIDE

	   INTEGER	 INCV, LDC, M, N

	   COMPLEX*16	 TAU

	   COMPLEX*16	 C( LDC, * ), V( * ), WORK( * )

PURPOSE

       ZLARF  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*16 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*16
	       The value tau in the representation of H.

       C       (input/output) COMPLEX*16 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*16 array, dimension
	       (N) if SIDE = 'L' or (M) if SIDE = 'R'

LAPACK version 3.0						   15 June 2000 							  ZLARF(l)

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zlarf.f(3) [centos man page]

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