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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 ZGETF2( M, N, A, LDA, IPIV, 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 ..
- INTEGER IPIV( * )
- COMPLEX*16 A( LDA, * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZGETF2 computes an LU factorization of a general m-by-n matrix A
-* using partial pivoting with row interchanges.
-*
-* The factorization has the form
-* A = P * L * U
-* where P is a permutation matrix, L is lower triangular with unit
-* diagonal elements (lower trapezoidal if m > n), and U is upper
-* triangular (upper trapezoidal if m < n).
-*
-* This is the right-looking Level 2 BLAS version of the algorithm.
-*
-* 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 to be factored.
-* On exit, the factors L and U from the factorization
-* A = P*L*U; the unit diagonal elements of L are not stored.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* IPIV (output) INTEGER array, dimension (min(M,N))
-* The pivot indices; for 1 <= i <= min(M,N), row i of the
-* matrix was interchanged with row IPIV(i).
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -k, the k-th argument had an illegal value
-* > 0: if INFO = k, U(k,k) is exactly zero. The factorization
-* has been completed, but the factor U is exactly
-* singular, and division by zero will occur if it is used
-* to solve a system of equations.
-*
-* =====================================================================
-*
-* .. Parameters ..
- COMPLEX*16 ONE, ZERO
- PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ),
- $ ZERO = ( 0.0D+0, 0.0D+0 ) )
-* ..
-* .. Local Scalars ..
- DOUBLE PRECISION SFMIN
- INTEGER I, J, JP
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMCH
- INTEGER IZAMAX
- EXTERNAL DLAMCH, IZAMAX
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA, ZGERU, ZSCAL, ZSWAP
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX, MIN
-* ..
-* .. Executable Statements ..
-*
-* Test the input parameters.
-*
- 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( 'ZGETF2', -INFO )
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( M.EQ.0 .OR. N.EQ.0 )
- $ RETURN
-*
-* Compute machine safe minimum
-*
- SFMIN = DLAMCH('S')
-*
- DO 10 J = 1, MIN( M, N )
-*
-* Find pivot and test for singularity.
-*
- JP = J - 1 + IZAMAX( M-J+1, A( J, J ), 1 )
- IPIV( J ) = JP
- IF( A( JP, J ).NE.ZERO ) THEN
-*
-* Apply the interchange to columns 1:N.
-*
- IF( JP.NE.J )
- $ CALL ZSWAP( N, A( J, 1 ), LDA, A( JP, 1 ), LDA )
-*
-* Compute elements J+1:M of J-th column.
-*
- IF( J.LT.M ) THEN
- IF( ABS(A( J, J )) .GE. SFMIN ) THEN
- CALL ZSCAL( M-J, ONE / A( J, J ), A( J+1, J ), 1 )
- ELSE
- DO 20 I = 1, M-J
- A( J+I, J ) = A( J+I, J ) / A( J, J )
- 20 CONTINUE
- END IF
- END IF
-*
- ELSE IF( INFO.EQ.0 ) THEN
-*
- INFO = J
- END IF
-*
- IF( J.LT.MIN( M, N ) ) THEN
-*
-* Update trailing submatrix.
-*
- CALL ZGERU( M-J, N-J, -ONE, A( J+1, J ), 1, A( J, J+1 ),
- $ LDA, A( J+1, J+1 ), LDA )
- END IF
- 10 CONTINUE
- RETURN
-*
-* End of ZGETF2
-*
- END