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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 ZGEQR2( 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 ..
- COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZGEQR2 computes a QR factorization of a complex m by n matrix A:
-* A = Q * R.
-*
-* 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) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the m by n matrix A.
-* On exit, the elements on and above the diagonal of the array
-* contain the min(m,n) by n upper trapezoidal matrix R (R is
-* upper triangular if m >= n); the elements below the diagonal,
-* with the array TAU, represent the unitary 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) COMPLEX*16 array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors (see Further
-* Details).
-*
-* WORK (workspace) COMPLEX*16 array, dimension (N)
-*
-* 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(1) H(2) . . . H(k), where k = min(m,n).
-*
-* Each H(i) has the form
-*
-* H(i) = I - tau * v * v'
-*
-* where tau is a complex scalar, and v is a complex vector with
-* v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i),
-* and tau in TAU(i).
-*
-* =====================================================================
-*
-* .. Parameters ..
- COMPLEX*16 ONE
- PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
-* ..
-* .. Local Scalars ..
- INTEGER I, K
- COMPLEX*16 ALPHA
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA, ZLARF, ZLARFG
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC DCONJG, 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( 'ZGEQR2', -INFO )
- RETURN
- END IF
-*
- K = MIN( M, N )
-*
- DO 10 I = 1, K
-*
-* Generate elementary reflector H(i) to annihilate A(i+1:m,i)
-*
- CALL ZLARFG( M-I+1, A( I, I ), A( MIN( I+1, M ), I ), 1,
- $ TAU( I ) )
- IF( I.LT.N ) THEN
-*
-* Apply H(i)' to A(i:m,i+1:n) from the left
-*
- ALPHA = A( I, I )
- A( I, I ) = ONE
- CALL ZLARF( 'Left', M-I+1, N-I, A( I, I ), 1,
- $ DCONJG( TAU( I ) ), A( I, I+1 ), LDA, WORK )
- A( I, I ) = ALPHA
- END IF
- 10 CONTINUE
- RETURN
-*
-* End of ZGEQR2
-*
- END