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Diffstat (limited to '2.3-1/src/fortran/lapack/zgetrs.f')
| -rw-r--r-- | 2.3-1/src/fortran/lapack/zgetrs.f | 149 |
1 files changed, 149 insertions, 0 deletions
diff --git a/2.3-1/src/fortran/lapack/zgetrs.f b/2.3-1/src/fortran/lapack/zgetrs.f new file mode 100644 index 00000000..e32549cd --- /dev/null +++ b/2.3-1/src/fortran/lapack/zgetrs.f @@ -0,0 +1,149 @@ + SUBROUTINE ZGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO ) +* +* -- LAPACK routine (version 3.1) -- +* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. +* November 2006 +* +* .. Scalar Arguments .. + CHARACTER TRANS + INTEGER INFO, LDA, LDB, N, NRHS +* .. +* .. Array Arguments .. + INTEGER IPIV( * ) + COMPLEX*16 A( LDA, * ), B( LDB, * ) +* .. +* +* Purpose +* ======= +* +* ZGETRS solves a system of linear equations +* A * X = B, A**T * X = B, or A**H * X = B +* with a general N-by-N matrix A using the LU factorization computed +* by ZGETRF. +* +* Arguments +* ========= +* +* TRANS (input) CHARACTER*1 +* Specifies the form of the system of equations: +* = 'N': A * X = B (No transpose) +* = 'T': A**T * X = B (Transpose) +* = 'C': A**H * X = B (Conjugate transpose) +* +* N (input) INTEGER +* The order of the matrix A. N >= 0. +* +* NRHS (input) INTEGER +* The number of right hand sides, i.e., the number of columns +* of the matrix B. NRHS >= 0. +* +* A (input) COMPLEX*16 array, dimension (LDA,N) +* The factors L and U from the factorization A = P*L*U +* as computed by ZGETRF. +* +* LDA (input) INTEGER +* The leading dimension of the array A. LDA >= max(1,N). +* +* IPIV (input) INTEGER array, dimension (N) +* The pivot indices from ZGETRF; for 1<=i<=N, row i of the +* matrix was interchanged with row IPIV(i). +* +* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) +* On entry, the right hand side matrix B. +* On exit, the solution matrix X. +* +* LDB (input) INTEGER +* The leading dimension of the array B. LDB >= max(1,N). +* +* INFO (output) INTEGER +* = 0: successful exit +* < 0: if INFO = -i, the i-th argument had an illegal value +* +* ===================================================================== +* +* .. Parameters .. + COMPLEX*16 ONE + PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) ) +* .. +* .. Local Scalars .. + LOGICAL NOTRAN +* .. +* .. External Functions .. + LOGICAL LSAME + EXTERNAL LSAME +* .. +* .. External Subroutines .. + EXTERNAL XERBLA, ZLASWP, ZTRSM +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. +* .. Executable Statements .. +* +* Test the input parameters. +* + INFO = 0 + NOTRAN = LSAME( TRANS, 'N' ) + IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'T' ) .AND. .NOT. + $ LSAME( TRANS, 'C' ) ) THEN + INFO = -1 + ELSE IF( N.LT.0 ) THEN + INFO = -2 + ELSE IF( NRHS.LT.0 ) THEN + INFO = -3 + ELSE IF( LDA.LT.MAX( 1, N ) ) THEN + INFO = -5 + ELSE IF( LDB.LT.MAX( 1, N ) ) THEN + INFO = -8 + END IF + IF( INFO.NE.0 ) THEN + CALL XERBLA( 'ZGETRS', -INFO ) + RETURN + END IF +* +* Quick return if possible +* + IF( N.EQ.0 .OR. NRHS.EQ.0 ) + $ RETURN +* + IF( NOTRAN ) THEN +* +* Solve A * X = B. +* +* Apply row interchanges to the right hand sides. +* + CALL ZLASWP( NRHS, B, LDB, 1, N, IPIV, 1 ) +* +* Solve L*X = B, overwriting B with X. +* + CALL ZTRSM( 'Left', 'Lower', 'No transpose', 'Unit', N, NRHS, + $ ONE, A, LDA, B, LDB ) +* +* Solve U*X = B, overwriting B with X. +* + CALL ZTRSM( 'Left', 'Upper', 'No transpose', 'Non-unit', N, + $ NRHS, ONE, A, LDA, B, LDB ) + ELSE +* +* Solve A**T * X = B or A**H * X = B. +* +* Solve U'*X = B, overwriting B with X. +* + CALL ZTRSM( 'Left', 'Upper', TRANS, 'Non-unit', N, NRHS, ONE, + $ A, LDA, B, LDB ) +* +* Solve L'*X = B, overwriting B with X. +* + CALL ZTRSM( 'Left', 'Lower', TRANS, 'Unit', N, NRHS, ONE, A, + $ LDA, B, LDB ) +* +* Apply row interchanges to the solution vectors. +* + CALL ZLASWP( NRHS, B, LDB, 1, N, IPIV, -1 ) + END IF +* + RETURN +* +* End of ZGETRS +* + END |