--- rpl/lapack/lapack/dgtts2.f 2010/08/13 21:03:46 1.6
+++ rpl/lapack/lapack/dgtts2.f 2017/06/17 11:06:20 1.17
@@ -1,9 +1,137 @@
+*> \brief \b DGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.
+*
+* =========== 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 December 2016
+*
+*> \ingroup doubleGTcomputational
+*
+* =====================================================================
SUBROUTINE DGTTS2( ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* December 2016
*
* .. 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'*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'* X = B (Transpose)
-* = 2: A'* 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 ..
@@ -138,11 +215,11 @@
END IF
ELSE
*
-* Solve A' * X = B.
+* Solve A**T * X = B.
*
IF( NRHS.LE.1 ) THEN
*
-* Solve U'*x = b.
+* Solve U**T*x = b.
*
J = 1
70 CONTINUE
@@ -154,7 +231,7 @@
$ B( I-2, J ) ) / D( I )
80 CONTINUE
*
-* Solve L'*x = b.
+* Solve L**T*x = b.
*
DO 90 I = N - 1, 1, -1
IP = IPIV( I )
@@ -170,7 +247,7 @@
ELSE
DO 120 J = 1, NRHS
*
-* Solve U'*x = b.
+* Solve U**T*x = b.
*
B( 1, J ) = B( 1, J ) / D( 1 )
IF( N.GT.1 )