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- SUBROUTINE DGETRS( 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( * )
- DOUBLE PRECISION A( LDA, * ), B( LDB, * )
-* ..
-*
-* Purpose
-* =======
-*
-* DGETRS solves a system of linear equations
-* A * X = B or A' * X = B
-* with a general N-by-N matrix A using the LU factorization computed
-* by DGETRF.
-*
-* Arguments
-* =========
-*
-* TRANS (input) CHARACTER*1
-* Specifies the form of the system of equations:
-* = 'N': A * X = B (No transpose)
-* = 'T': A'* X = B (Transpose)
-* = 'C': A'* X = B (Conjugate transpose = 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) DOUBLE PRECISION array, dimension (LDA,N)
-* The factors L and U from the factorization A = P*L*U
-* as computed by DGETRF.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* IPIV (input) INTEGER array, dimension (N)
-* The pivot indices from DGETRF; for 1<=i<=N, row i of the
-* matrix was interchanged with row IPIV(i).
-*
-* B (input/output) DOUBLE PRECISION 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 ..
- DOUBLE PRECISION ONE
- PARAMETER ( ONE = 1.0D+0 )
-* ..
-* .. Local Scalars ..
- LOGICAL NOTRAN
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL DLASWP, DTRSM, XERBLA
-* ..
-* .. 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( 'DGETRS', -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 DLASWP( NRHS, B, LDB, 1, N, IPIV, 1 )
-*
-* Solve L*X = B, overwriting B with X.
-*
- CALL DTRSM( 'Left', 'Lower', 'No transpose', 'Unit', N, NRHS,
- $ ONE, A, LDA, B, LDB )
-*
-* Solve U*X = B, overwriting B with X.
-*
- CALL DTRSM( 'Left', 'Upper', 'No transpose', 'Non-unit', N,
- $ NRHS, ONE, A, LDA, B, LDB )
- ELSE
-*
-* Solve A' * X = B.
-*
-* Solve U'*X = B, overwriting B with X.
-*
- CALL DTRSM( 'Left', 'Upper', 'Transpose', 'Non-unit', N, NRHS,
- $ ONE, A, LDA, B, LDB )
-*
-* Solve L'*X = B, overwriting B with X.
-*
- CALL DTRSM( 'Left', 'Lower', 'Transpose', 'Unit', N, NRHS, ONE,
- $ A, LDA, B, LDB )
-*
-* Apply row interchanges to the solution vectors.
-*
- CALL DLASWP( NRHS, B, LDB, 1, N, IPIV, -1 )
- END IF
-*
- RETURN
-*
-* End of DGETRS
-*
- END