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- 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