zlarz(3) [debian man page]

zlarz.f(3)							      LAPACK								zlarz.f(3)

NAME

       zlarz.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
	   ZLARZ

Function/Subroutine Documentation
   subroutine zlarz (characterSIDE, integerM, integerN, integerL, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension(
       ldc, * )C, integerLDC, complex*16, dimension( * )WORK)
       ZLARZ

       Purpose:

	    ZLARZ 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.

	    H is a product of k elementary reflectors as returned by ZTZRZF.

       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.

	   L

		     L is INTEGER
		     The number of entries of the vector V containing
		     the meaningful part of the Householder vectors.
		     If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.

	   V

		     V is COMPLEX*16 array, dimension (1+(L-1)*abs(INCV))
		     The vector v in the representation of H as returned by
		     ZTZRZF. 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:
	   November 2011

       Contributors:
	   A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

       Further Details:

       Definition at line 148 of file zlarz.f.

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

Version 3.4.1							  Sun May 26 2013							zlarz.f(3)

Check Out this Related Man Page

ZLARZ(l)								 )								  ZLARZ(l)

NAME

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

SYNOPSIS

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

	   CHARACTER	 SIDE

	   INTEGER	 INCV, L, LDC, M, N

	   COMPLEX*16	 TAU

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

PURPOSE

       ZLARZ  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.

       H is a product of k elementary reflectors as returned by ZTZRZF.

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.

       L       (input) INTEGER
	       The number of entries of the vector V containing the meaningful part of the Householder vectors.  If SIDE = 'L', M >= L	>=  0,	if
	       SIDE = 'R', N >= L >= 0.

       V       (input) COMPLEX*16 array, dimension (1+(L-1)*abs(INCV))
	       The vector v in the representation of H as returned by ZTZRZF. 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'

FURTHER DETAILS

       Based on contributions by
	 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

LAPACK version 3.0						   15 June 2000 							  ZLARZ(l)

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