slarfx(l) [redhat man page]

SLARFX(l)								 )								 SLARFX(l)

NAME

       SLARFX - applie a real elementary reflector H to a real m by n matrix C, from either the left or the right

SYNOPSIS

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

	   CHARACTER	  SIDE

	   INTEGER	  LDC, M, N

	   REAL 	  TAU

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

PURPOSE

       SLARFX applies a real elementary reflector H to a real 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 real scalar and v is a real vector.

       If tau = 0, then H is taken to be the unit matrix

       This version uses inline code if H has order < 11.

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) REAL array, dimension (M) if SIDE = 'L'
	       or (N) if SIDE = 'R' The vector v in the representation of H.

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

       C       (input/output) REAL 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. LDA >= (1,M).

       WORK    (workspace) REAL array, dimension
	       (N) if SIDE = 'L' or (M) if SIDE = 'R' WORK is not referenced if H has order < 11.

LAPACK version 3.0						   15 June 2000 							 SLARFX(l)

SLARZ(l)								 )								  SLARZ(l)

NAME

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

SYNOPSIS

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

	   CHARACTER	 SIDE

	   INTEGER	 INCV, L, LDC, M, N

	   REAL 	 TAU

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

PURPOSE

       SLARZ applies a real elementary reflector H to a real 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 real scalar and v is a real vector.

       If tau = 0, then H is taken to be the unit matrix.

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

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) REAL array, dimension (1+(L-1)*abs(INCV))
	       The vector v in the representation of H as returned by STZRZF. V is not used if TAU = 0.

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

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

       C       (input/output) REAL 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) REAL 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 							  SLARZ(l)