--- rpl/lapack/lapack/dgtts2.f 2011/07/22 07:38:05 1.8 +++ rpl/lapack/lapack/dgtts2.f 2011/11/21 20:42:53 1.9 @@ -1,9 +1,137 @@ +*> \brief \b DGTTS2 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DGTTS2 + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DGTTS2( ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB ) +* +* .. Scalar Arguments .. +* INTEGER ITRANS, LDB, N, NRHS +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* DOUBLE PRECISION B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DGTTS2 solves one of the systems of equations +*> A*X = B or A**T*X = B, +*> with a tridiagonal matrix A using the LU factorization computed +*> by DGTTRF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] ITRANS +*> \verbatim +*> ITRANS is INTEGER +*> Specifies the form of the system of equations. +*> = 0: A * X = B (No transpose) +*> = 1: A**T* X = B (Transpose) +*> = 2: A**T* X = B (Conjugate transpose = Transpose) +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. +*> \endverbatim +*> +*> \param[in] NRHS +*> \verbatim +*> NRHS is INTEGER +*> The number of right hand sides, i.e., the number of columns +*> of the matrix B. NRHS >= 0. +*> \endverbatim +*> +*> \param[in] DL +*> \verbatim +*> DL is DOUBLE PRECISION array, dimension (N-1) +*> The (n-1) multipliers that define the matrix L from the +*> LU factorization of A. +*> \endverbatim +*> +*> \param[in] D +*> \verbatim +*> D is DOUBLE PRECISION array, dimension (N) +*> The n diagonal elements of the upper triangular matrix U from +*> the LU factorization of A. +*> \endverbatim +*> +*> \param[in] DU +*> \verbatim +*> DU is DOUBLE PRECISION array, dimension (N-1) +*> The (n-1) elements of the first super-diagonal of U. +*> \endverbatim +*> +*> \param[in] DU2 +*> \verbatim +*> DU2 is DOUBLE PRECISION array, dimension (N-2) +*> The (n-2) elements of the second super-diagonal of U. +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is 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. +*> \endverbatim +*> +*> \param[in,out] B +*> \verbatim +*> B is DOUBLE PRECISION array, dimension (LDB,NRHS) +*> On entry, the matrix of right hand side vectors B. +*> On exit, B is overwritten by the solution vectors X. +*> \endverbatim +*> +*> \param[in] LDB +*> \verbatim +*> LDB is INTEGER +*> The leading dimension of the array B. LDB >= max(1,N). +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleOTHERauxiliary +* +* ===================================================================== SUBROUTINE DGTTS2( ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. INTEGER ITRANS, LDB, N, NRHS @@ -13,57 +141,6 @@ DOUBLE PRECISION B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * ) * .. * -* Purpose -* ======= -* -* DGTTS2 solves one of the systems of equations -* A*X = B or A**T*X = B, -* with a tridiagonal matrix A using the LU factorization computed -* by DGTTRF. -* -* Arguments -* ========= -* -* ITRANS (input) INTEGER -* Specifies the form of the system of equations. -* = 0: A * X = B (No transpose) -* = 1: A**T* X = B (Transpose) -* = 2: A**T* X = B (Conjugate transpose = 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) DOUBLE PRECISION array, dimension (N-1) -* The (n-1) multipliers that define the matrix L from the -* LU factorization of A. -* -* D (input) DOUBLE PRECISION array, dimension (N) -* The n diagonal elements of the upper triangular matrix U from -* the LU factorization of A. -* -* DU (input) DOUBLE PRECISION array, dimension (N-1) -* The (n-1) elements of the first super-diagonal of U. -* -* DU2 (input) DOUBLE PRECISION 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) DOUBLE PRECISION 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). -* * ===================================================================== * * .. Local Scalars ..