dlarz(3) [debian man page]

dlarz.f(3)							      LAPACK								dlarz.f(3)

NAME

       dlarz.f -

SYNOPSIS

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

Function/Subroutine Documentation
   subroutine dlarz (characterSIDE, integerM, integerN, integerL, double precision, dimension( * )V, integerINCV, double precisionTAU, double
       precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK)
       DLARZ

       Purpose:

	    DLARZ 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**T

	    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 DTZRZF.

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

	   INCV

		     INCV is INTEGER
		     The increment between elements of v. INCV <> 0.

	   TAU

		     TAU is DOUBLE PRECISION
		     The value tau in the representation of H.

	   C

		     C is DOUBLE PRECISION 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 DOUBLE PRECISION 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 146 of file dlarz.f.

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

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

dlatzm.f(3)							      LAPACK							       dlatzm.f(3)

NAME

       dlatzm.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)
	   DLATZM

Function/Subroutine Documentation
   subroutine dlatzm (characterSIDE, integerM, integerN, double precision, dimension( * )V, integerINCV, double precisionTAU, double precision,
       dimension( ldc, * )C1, double precision, dimension( ldc, * )C2, integerLDC, double precision, dimension( * )WORK)
       DLATZM

       Purpose:

	    This routine is deprecated and has been replaced by routine DORMRZ.

	    DLATZM applies a Householder matrix generated by DTZRQF to a matrix.

	    Let P = I - tau*u*u**T,   u = ( 1 ),
					  ( v )
	    where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if
	    SIDE = 'R'.

	    If SIDE equals 'L', let
		   C = [ C1 ] 1
		       [ C2 ] m-1
			 n
	    Then C is overwritten by P*C.

	    If SIDE equals 'R', let
		   C = [ C1, C2 ] m
			  1  n-1
	    Then C is overwritten by C*P.

       Parameters:
	   SIDE

		     SIDE is CHARACTER*1
		     = 'L': form P * C
		     = 'R': form C * P

	   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 DOUBLE PRECISION array, dimension
			     (1 + (M-1)*abs(INCV)) if SIDE = 'L'
			     (1 + (N-1)*abs(INCV)) if SIDE = 'R'
		     The vector v in the representation of P. V is not used
		     if TAU = 0.

	   INCV

		     INCV is INTEGER
		     The increment between elements of v. INCV <> 0

	   TAU

		     TAU is DOUBLE PRECISION
		     The value tau in the representation of P.

	   C1

		     C1 is DOUBLE PRECISION array, dimension
				    (LDC,N) if SIDE = 'L'
				    (M,1)   if SIDE = 'R'
		     On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1
		     if SIDE = 'R'.

		     On exit, the first row of P*C if SIDE = 'L', or the first
		     column of C*P if SIDE = 'R'.

	   C2

		     C2 is DOUBLE PRECISION array, dimension
				    (LDC, N)   if SIDE = 'L'
				    (LDC, N-1) if SIDE = 'R'
		     On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the
		     m x (n - 1) matrix C2 if SIDE = 'R'.

		     On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P
		     if SIDE = 'R'.

	   LDC

		     LDC is INTEGER
		     The leading dimension of the arrays C1 and C2. LDC >= (1,M).

	   WORK

		     WORK is DOUBLE PRECISION array, dimension
				 (N) if SIDE = 'L'
				 (M) if SIDE = 'R'

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 152 of file dlatzm.f.

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

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