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author | Siddhesh Wani | 2015-05-25 14:46:31 +0530 |
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committer | Siddhesh Wani | 2015-05-25 14:46:31 +0530 |
commit | 6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26 (patch) | |
tree | 1b7bd89fdcfd01715713d8a15db471dc75a96bbf /2.3-1/src/fortran/lapack/zgetrf.f | |
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Original Version
Diffstat (limited to '2.3-1/src/fortran/lapack/zgetrf.f')
-rw-r--r-- | 2.3-1/src/fortran/lapack/zgetrf.f | 159 |
1 files changed, 159 insertions, 0 deletions
diff --git a/2.3-1/src/fortran/lapack/zgetrf.f b/2.3-1/src/fortran/lapack/zgetrf.f new file mode 100644 index 00000000..9c7bfbbf --- /dev/null +++ b/2.3-1/src/fortran/lapack/zgetrf.f @@ -0,0 +1,159 @@ + SUBROUTINE ZGETRF( 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 +* ======= +* +* ZGETRF 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 3 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 = -i, the i-th argument had an illegal value +* > 0: if INFO = i, U(i,i) 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 + PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) ) +* .. +* .. Local Scalars .. + INTEGER I, IINFO, J, JB, NB +* .. +* .. External Subroutines .. + EXTERNAL XERBLA, ZGEMM, ZGETF2, ZLASWP, ZTRSM +* .. +* .. External Functions .. + INTEGER ILAENV + EXTERNAL ILAENV +* .. +* .. 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( 'ZGETRF', -INFO ) + RETURN + END IF +* +* Quick return if possible +* + IF( M.EQ.0 .OR. N.EQ.0 ) + $ RETURN +* +* Determine the block size for this environment. +* + NB = ILAENV( 1, 'ZGETRF', ' ', M, N, -1, -1 ) + IF( NB.LE.1 .OR. NB.GE.MIN( M, N ) ) THEN +* +* Use unblocked code. +* + CALL ZGETF2( M, N, A, LDA, IPIV, INFO ) + ELSE +* +* Use blocked code. +* + DO 20 J = 1, MIN( M, N ), NB + JB = MIN( MIN( M, N )-J+1, NB ) +* +* Factor diagonal and subdiagonal blocks and test for exact +* singularity. +* + CALL ZGETF2( M-J+1, JB, A( J, J ), LDA, IPIV( J ), IINFO ) +* +* Adjust INFO and the pivot indices. +* + IF( INFO.EQ.0 .AND. IINFO.GT.0 ) + $ INFO = IINFO + J - 1 + DO 10 I = J, MIN( M, J+JB-1 ) + IPIV( I ) = J - 1 + IPIV( I ) + 10 CONTINUE +* +* Apply interchanges to columns 1:J-1. +* + CALL ZLASWP( J-1, A, LDA, J, J+JB-1, IPIV, 1 ) +* + IF( J+JB.LE.N ) THEN +* +* Apply interchanges to columns J+JB:N. +* + CALL ZLASWP( N-J-JB+1, A( 1, J+JB ), LDA, J, J+JB-1, + $ IPIV, 1 ) +* +* Compute block row of U. +* + CALL ZTRSM( 'Left', 'Lower', 'No transpose', 'Unit', JB, + $ N-J-JB+1, ONE, A( J, J ), LDA, A( J, J+JB ), + $ LDA ) + IF( J+JB.LE.M ) THEN +* +* Update trailing submatrix. +* + CALL ZGEMM( 'No transpose', 'No transpose', M-J-JB+1, + $ N-J-JB+1, JB, -ONE, A( J+JB, J ), LDA, + $ A( J, J+JB ), LDA, ONE, A( J+JB, J+JB ), + $ LDA ) + END IF + END IF + 20 CONTINUE + END IF + RETURN +* +* End of ZGETRF +* + END |