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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 DGELQ2( M, N, 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, LDA, M, N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DGELQ2 computes an LQ factorization of a real m by n matrix A:
-* A = L * Q.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the m by n matrix A.
-* On exit, the elements on and below the diagonal of the array
-* contain the m by min(m,n) lower trapezoidal matrix L (L is
-* lower triangular if m <= n); the elements above the diagonal,
-* with the array TAU, represent the orthogonal matrix Q as a
-* product of elementary reflectors (see Further Details).
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* TAU (output) DOUBLE PRECISION array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors (see Further
-* Details).
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (M)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* Further Details
-* ===============
-*
-* The matrix Q is represented as a product of elementary reflectors
-*
-* Q = H(k) . . . H(2) H(1), where k = min(m,n).
-*
-* Each H(i) has the form
-*
-* H(i) = I - tau * v * v'
-*
-* where tau is a real scalar, and v is a real vector with
-* v(1:i-1) = 0 and v(i) = 1; v(i+1:n) is stored on exit in A(i,i+1:n),
-* and tau in TAU(i).
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE
- PARAMETER ( ONE = 1.0D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER I, K
- DOUBLE PRECISION AII
-* ..
-* .. External Subroutines ..
- EXTERNAL DLARF, DLARFG, XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX, MIN
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- IF( M.LT.0 ) THEN
- INFO = -1
- ELSE IF( N.LT.0 ) THEN
- INFO = -2
- ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
- INFO = -4
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'DGELQ2', -INFO )
- RETURN
- END IF
-*
- K = MIN( M, N )
-*
- DO 10 I = 1, K
-*
-* Generate elementary reflector H(i) to annihilate A(i,i+1:n)
-*
- CALL DLARFG( N-I+1, A( I, I ), A( I, MIN( I+1, N ) ), LDA,
- $ TAU( I ) )
- IF( I.LT.M ) THEN
-*
-* Apply H(i) to A(i+1:m,i:n) from the right
-*
- AII = A( I, I )
- A( I, I ) = ONE
- CALL DLARF( 'Right', M-I, N-I+1, A( I, I ), LDA, TAU( I ),
- $ A( I+1, I ), LDA, WORK )
- A( I, I ) = AII
- END IF
- 10 CONTINUE
- RETURN
-*
-* End of DGELQ2
-*
- END