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SUBROUTINE ZGTTRS( TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB,
$ INFO ) * * -- LAPACK routine (version 3.2) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * November 2006 * * .. Scalar Arguments .. CHARACTER TRANS INTEGER INFO, LDB, N, NRHS * .. * .. Array Arguments .. INTEGER IPIV( * ) COMPLEX*16 B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * ) * .. * * Purpose * ======= * * ZGTTRS solves one of the systems of equations * A * X = B, A**T * X = B, or A**H * X = B, * with a tridiagonal matrix A using the LU factorization computed * by ZGTTRF. * * 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. * * NRHS (input) INTEGER * The number of right hand sides, i.e., the number of columns * of the matrix B. NRHS >= 0. * * DL (input) COMPLEX*16 array, dimension (N-1) * The (n-1) multipliers that define the matrix L from the * LU factorization of A. * * D (input) COMPLEX*16 array, dimension (N) * The n diagonal elements of the upper triangular matrix U from * the LU factorization of A. * * DU (input) COMPLEX*16 array, dimension (N-1) * The (n-1) elements of the first super-diagonal of U. * * DU2 (input) COMPLEX*16 array, dimension (N-2) * The (n-2) elements of the second super-diagonal of U. * * IPIV (input) INTEGER array, dimension (N) * The pivot indices; for 1 <= i <= n, row i of the matrix was * interchanged with row IPIV(i). IPIV(i) will always be either * i or i+1; IPIV(i) = i indicates a row interchange was not * required. * * B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) * On entry, the matrix of right hand side vectors B. * On exit, B is overwritten by the solution vectors X. * * LDB (input) INTEGER * The leading dimension of the array B. LDB >= max(1,N). * * INFO (output) INTEGER * = 0: successful exit * < 0: if INFO = -k, the k-th argument had an illegal value * * ===================================================================== * * .. Local Scalars .. LOGICAL NOTRAN INTEGER ITRANS, J, JB, NB * .. * .. External Functions .. INTEGER ILAENV EXTERNAL ILAENV * .. * .. External Subroutines .. EXTERNAL XERBLA, ZGTTS2 * .. * .. Intrinsic Functions .. INTRINSIC MAX, MIN * .. * .. Executable Statements .. * INFO = 0 NOTRAN = ( TRANS.EQ.'N' .OR. TRANS.EQ.'n' ) IF( .NOT.NOTRAN .AND. .NOT.( TRANS.EQ.'T' .OR. TRANS.EQ. $ 't' ) .AND. .NOT.( TRANS.EQ.'C' .OR. TRANS.EQ.'c' ) ) THEN INFO = -1 ELSE IF( N.LT.0 ) THEN INFO = -2 ELSE IF( NRHS.LT.0 ) THEN INFO = -3 ELSE IF( LDB.LT.MAX( N, 1 ) ) THEN INFO = -10 END IF IF( INFO.NE.0 ) THEN CALL XERBLA( 'ZGTTRS', -INFO ) RETURN END IF * * Quick return if possible * IF( N.EQ.0 .OR. NRHS.EQ.0 ) $ RETURN * * Decode TRANS * IF( NOTRAN ) THEN ITRANS = 0 ELSE IF( TRANS.EQ.'T' .OR. TRANS.EQ.'t' ) THEN ITRANS = 1 ELSE ITRANS = 2 END IF * * Determine the number of right-hand sides to solve at a time. * IF( NRHS.EQ.1 ) THEN NB = 1 ELSE NB = MAX( 1, ILAENV( 1, 'ZGTTRS', TRANS, N, NRHS, -1, -1 ) ) END IF * IF( NB.GE.NRHS ) THEN CALL ZGTTS2( ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB ) ELSE DO 10 J = 1, NRHS, NB JB = MIN( NRHS-J+1, NB ) CALL ZGTTS2( ITRANS, N, JB, DL, D, DU, DU2, IPIV, B( 1, J ), $ LDB ) 10 CONTINUE END IF * * End of ZGTTRS * END |