diff options
Diffstat (limited to 'src/fortran/lapack/dtrtrs.f')
| -rw-r--r-- | src/fortran/lapack/dtrtrs.f | 147 |
1 files changed, 147 insertions, 0 deletions
diff --git a/src/fortran/lapack/dtrtrs.f b/src/fortran/lapack/dtrtrs.f new file mode 100644 index 0000000..139ea6d --- /dev/null +++ b/src/fortran/lapack/dtrtrs.f @@ -0,0 +1,147 @@ + SUBROUTINE DTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, + $ INFO ) +* +* -- LAPACK routine (version 3.1) -- +* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. +* November 2006 +* +* .. Scalar Arguments .. + CHARACTER DIAG, TRANS, UPLO + INTEGER INFO, LDA, LDB, N, NRHS +* .. +* .. Array Arguments .. + DOUBLE PRECISION A( LDA, * ), B( LDB, * ) +* .. +* +* Purpose +* ======= +* +* DTRTRS solves a triangular system of the form +* +* A * X = B or A**T * X = B, +* +* where A is a triangular matrix of order N, and B is an N-by-NRHS +* matrix. A check is made to verify that A is nonsingular. +* +* Arguments +* ========= +* +* UPLO (input) CHARACTER*1 +* = 'U': A is upper triangular; +* = 'L': A is lower triangular. +* +* 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 = Transpose) +* +* DIAG (input) CHARACTER*1 +* = 'N': A is non-unit triangular; +* = 'U': A is unit triangular. +* +* 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 triangular matrix A. If UPLO = 'U', the leading N-by-N +* upper triangular part of the array A contains the upper +* triangular matrix, and the strictly lower triangular part of +* A is not referenced. If UPLO = 'L', the leading N-by-N lower +* triangular part of the array A contains the lower triangular +* matrix, and the strictly upper triangular part of A is not +* referenced. If DIAG = 'U', the diagonal elements of A are +* also not referenced and are assumed to be 1. +* +* LDA (input) INTEGER +* The leading dimension of the array A. LDA >= max(1,N). +* +* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) +* On entry, the right hand side matrix B. +* On exit, if INFO = 0, 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 +* > 0: if INFO = i, the i-th diagonal element of A is zero, +* indicating that the matrix is singular and the solutions +* X have not been computed. +* +* ===================================================================== +* +* .. Parameters .. + DOUBLE PRECISION ZERO, ONE + PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) +* .. +* .. Local Scalars .. + LOGICAL NOUNIT +* .. +* .. External Functions .. + LOGICAL LSAME + EXTERNAL LSAME +* .. +* .. External Subroutines .. + EXTERNAL DTRSM, XERBLA +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX +* .. +* .. Executable Statements .. +* +* Test the input parameters. +* + INFO = 0 + NOUNIT = LSAME( DIAG, 'N' ) + IF( .NOT.LSAME( UPLO, 'U' ) .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN + INFO = -1 + ELSE IF( .NOT.LSAME( TRANS, 'N' ) .AND. .NOT. + $ LSAME( TRANS, 'T' ) .AND. .NOT.LSAME( TRANS, 'C' ) ) THEN + INFO = -2 + ELSE IF( .NOT.NOUNIT .AND. .NOT.LSAME( DIAG, 'U' ) ) THEN + INFO = -3 + ELSE IF( N.LT.0 ) THEN + INFO = -4 + ELSE IF( NRHS.LT.0 ) THEN + INFO = -5 + ELSE IF( LDA.LT.MAX( 1, N ) ) THEN + INFO = -7 + ELSE IF( LDB.LT.MAX( 1, N ) ) THEN + INFO = -9 + END IF + IF( INFO.NE.0 ) THEN + CALL XERBLA( 'DTRTRS', -INFO ) + RETURN + END IF +* +* Quick return if possible +* + IF( N.EQ.0 ) + $ RETURN +* +* Check for singularity. +* + IF( NOUNIT ) THEN + DO 10 INFO = 1, N + IF( A( INFO, INFO ).EQ.ZERO ) + $ RETURN + 10 CONTINUE + END IF + INFO = 0 +* +* Solve A * x = b or A' * x = b. +* + CALL DTRSM( 'Left', UPLO, TRANS, DIAG, N, NRHS, ONE, A, LDA, B, + $ LDB ) +* + RETURN +* +* End of DTRTRS +* + END |