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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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- SUBROUTINE DORGR2( M, N, K, A, LDA, TAU, WORK, INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER INFO, K, LDA, M, N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DORGR2 generates an m by n real matrix Q with orthonormal rows,
-* which is defined as the last m rows of a product of k elementary
-* reflectors of order n
-*
-* Q = H(1) H(2) . . . H(k)
-*
-* as returned by DGERQF.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix Q. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix Q. N >= M.
-*
-* K (input) INTEGER
-* The number of elementary reflectors whose product defines the
-* matrix Q. M >= K >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the (m-k+i)-th row must contain the vector which
-* defines the elementary reflector H(i), for i = 1,2,...,k, as
-* returned by DGERQF in the last k rows of its array argument
-* A.
-* On exit, the m by n matrix Q.
-*
-* LDA (input) INTEGER
-* The first dimension of the array A. LDA >= max(1,M).
-*
-* TAU (input) DOUBLE PRECISION array, dimension (K)
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by DGERQF.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (M)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument has an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, ZERO
- PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER I, II, J, L
-* ..
-* .. External Subroutines ..
- EXTERNAL DLARF, DSCAL, XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- IF( M.LT.0 ) THEN
- INFO = -1
- ELSE IF( N.LT.M ) THEN
- INFO = -2
- ELSE IF( K.LT.0 .OR. K.GT.M ) THEN
- INFO = -3
- ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
- INFO = -5
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'DORGR2', -INFO )
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( M.LE.0 )
- $ RETURN
-*
- IF( K.LT.M ) THEN
-*
-* Initialise rows 1:m-k to rows of the unit matrix
-*
- DO 20 J = 1, N
- DO 10 L = 1, M - K
- A( L, J ) = ZERO
- 10 CONTINUE
- IF( J.GT.N-M .AND. J.LE.N-K )
- $ A( M-N+J, J ) = ONE
- 20 CONTINUE
- END IF
-*
- DO 40 I = 1, K
- II = M - K + I
-*
-* Apply H(i) to A(1:m-k+i,1:n-k+i) from the right
-*
- A( II, N-M+II ) = ONE
- CALL DLARF( 'Right', II-1, N-M+II, A( II, 1 ), LDA, TAU( I ),
- $ A, LDA, WORK )
- CALL DSCAL( N-M+II-1, -TAU( I ), A( II, 1 ), LDA )
- A( II, N-M+II ) = ONE - TAU( I )
-*
-* Set A(m-k+i,n-k+i+1:n) to zero
-*
- DO 30 L = N - M + II + 1, N
- A( II, L ) = ZERO
- 30 CONTINUE
- 40 CONTINUE
- RETURN
-*
-* End of DORGR2
-*
- END