clarz(3) [centos man page]

clarz.f(3)							      LAPACK								clarz.f(3)

NAME

       clarz.f -

SYNOPSIS

   Functions/Subroutines
       subroutine clarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
	   CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

Function/Subroutine Documentation
   subroutine clarz (characterSIDE, integerM, integerN, integerL, complex, dimension( * )V, integerINCV, complexTAU, complex, dimension( ldc, *
       )C, integerLDC, complex, dimension( * )WORK)
       CLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix.

       Purpose:

	    CLARZ 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 CTZRZF.

       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 array, dimension (1+(L-1)*abs(INCV))
		     The vector v in the representation of H as returned by
		     CTZRZF. 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

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

       Further Details:

       Definition at line 148 of file clarz.f.

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

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

Check Out this Related Man Page

CLARZ(l)								 )								  CLARZ(l)

NAME

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

SYNOPSIS

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

	   CHARACTER	 SIDE

	   INTEGER	 INCV, L, LDC, M, N

	   COMPLEX	 TAU

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

PURPOSE

       CLARZ  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 CTZRZF.

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

FURTHER DETAILS

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

LAPACK version 3.0						   15 June 2000 							  CLARZ(l)

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clarz(3) [centos man page]

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