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authorjofret2009-04-28 07:17:00 +0000
committerjofret2009-04-28 07:17:00 +0000
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Moving lapack to right place
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diff --git a/src/lib/lapack/zlarz.f b/src/lib/lapack/zlarz.f
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- SUBROUTINE ZLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER SIDE
- INTEGER INCV, L, LDC, M, N
- COMPLEX*16 TAU
-* ..
-* .. Array Arguments ..
- 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
-*
-* =====================================================================
-*
-* .. Parameters ..
- COMPLEX*16 ONE, ZERO
- PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ),
- $ ZERO = ( 0.0D+0, 0.0D+0 ) )
-* ..
-* .. External Subroutines ..
- EXTERNAL ZAXPY, ZCOPY, ZGEMV, ZGERC, ZGERU, ZLACGV
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. Executable Statements ..
-*
- IF( LSAME( SIDE, 'L' ) ) THEN
-*
-* Form H * C
-*
- IF( TAU.NE.ZERO ) THEN
-*
-* w( 1:n ) = conjg( C( 1, 1:n ) )
-*
- CALL ZCOPY( N, C, LDC, WORK, 1 )
- CALL ZLACGV( N, WORK, 1 )
-*
-* w( 1:n ) = conjg( w( 1:n ) + C( m-l+1:m, 1:n )' * v( 1:l ) )
-*
- CALL ZGEMV( 'Conjugate transpose', L, N, ONE, C( M-L+1, 1 ),
- $ LDC, V, INCV, ONE, WORK, 1 )
- CALL ZLACGV( N, WORK, 1 )
-*
-* C( 1, 1:n ) = C( 1, 1:n ) - tau * w( 1:n )
-*
- CALL ZAXPY( N, -TAU, WORK, 1, C, LDC )
-*
-* C( m-l+1:m, 1:n ) = C( m-l+1:m, 1:n ) - ...
-* tau * v( 1:l ) * conjg( w( 1:n )' )
-*
- CALL ZGERU( L, N, -TAU, V, INCV, WORK, 1, C( M-L+1, 1 ),
- $ LDC )
- END IF
-*
- ELSE
-*
-* Form C * H
-*
- IF( TAU.NE.ZERO ) THEN
-*
-* w( 1:m ) = C( 1:m, 1 )
-*
- CALL ZCOPY( M, C, 1, WORK, 1 )
-*
-* w( 1:m ) = w( 1:m ) + C( 1:m, n-l+1:n, 1:n ) * v( 1:l )
-*
- CALL ZGEMV( 'No transpose', M, L, ONE, C( 1, N-L+1 ), LDC,
- $ V, INCV, ONE, WORK, 1 )
-*
-* C( 1:m, 1 ) = C( 1:m, 1 ) - tau * w( 1:m )
-*
- CALL ZAXPY( M, -TAU, WORK, 1, C, 1 )
-*
-* C( 1:m, n-l+1:n ) = C( 1:m, n-l+1:n ) - ...
-* tau * w( 1:m ) * v( 1:l )'
-*
- CALL ZGERC( M, L, -TAU, WORK, 1, V, INCV, C( 1, N-L+1 ),
- $ LDC )
-*
- END IF
-*
- END IF
-*
- RETURN
-*
-* End of ZLARZ
-*
- END