--- rpl/lapack/lapack/zptsv.f 2010/08/06 15:32:48 1.4
+++ rpl/lapack/lapack/zptsv.f 2012/12/14 12:30:34 1.12
@@ -1,9 +1,124 @@
+*> \brief ZPTSV computes the solution to system of linear equations A * X = B for PT matrices
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZPTSV + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZPTSV( N, NRHS, D, E, B, LDB, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDB, N, NRHS
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION D( * )
+* COMPLEX*16 B( LDB, * ), E( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZPTSV computes the solution to a complex system of linear equations
+*> A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal
+*> matrix, and X and B are N-by-NRHS matrices.
+*>
+*> A is factored as A = L*D*L**H, and the factored form of A is then
+*> used to solve the system of equations.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \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,out] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (N)
+*> On entry, the n diagonal elements of the tridiagonal matrix
+*> A. On exit, the n diagonal elements of the diagonal matrix
+*> D from the factorization A = L*D*L**H.
+*> \endverbatim
+*>
+*> \param[in,out] E
+*> \verbatim
+*> E is COMPLEX*16 array, dimension (N-1)
+*> On entry, the (n-1) subdiagonal elements of the tridiagonal
+*> matrix A. On exit, the (n-1) subdiagonal elements of the
+*> unit bidiagonal factor L from the L*D*L**H factorization of
+*> A. E can also be regarded as the superdiagonal of the unit
+*> bidiagonal factor U from the U**H*D*U factorization of A.
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*> B is COMPLEX*16 array, dimension (LDB,NRHS)
+*> On entry, the N-by-NRHS right hand side matrix B.
+*> On exit, if INFO = 0, the N-by-NRHS solution matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> The leading dimension of the array B. LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> > 0: if INFO = i, the leading minor of order i is not
+*> positive definite, and the solution has not been
+*> computed. The factorization has not been completed
+*> unless i = N.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup complex16PTsolve
+*
+* =====================================================================
SUBROUTINE ZPTSV( N, NRHS, D, E, B, LDB, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK driver routine (version 3.4.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* September 2012
*
* .. Scalar Arguments ..
INTEGER INFO, LDB, N, NRHS
@@ -13,53 +128,6 @@
COMPLEX*16 B( LDB, * ), E( * )
* ..
*
-* Purpose
-* =======
-*
-* ZPTSV computes the solution to a complex system of linear equations
-* A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal
-* matrix, and X and B are N-by-NRHS matrices.
-*
-* A is factored as A = L*D*L**H, and the factored form of A is then
-* used to solve the system of equations.
-*
-* Arguments
-* =========
-*
-* 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.
-*
-* D (input/output) DOUBLE PRECISION array, dimension (N)
-* On entry, the n diagonal elements of the tridiagonal matrix
-* A. On exit, the n diagonal elements of the diagonal matrix
-* D from the factorization A = L*D*L**H.
-*
-* E (input/output) COMPLEX*16 array, dimension (N-1)
-* On entry, the (n-1) subdiagonal elements of the tridiagonal
-* matrix A. On exit, the (n-1) subdiagonal elements of the
-* unit bidiagonal factor L from the L*D*L**H factorization of
-* A. E can also be regarded as the superdiagonal of the unit
-* bidiagonal factor U from the U**H*D*U factorization of A.
-*
-* B (input/output) COMPLEX*16 array, dimension (LDB,N)
-* On entry, the N-by-NRHS right hand side matrix B.
-* On exit, if INFO = 0, the N-by-NRHS 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 leading minor of order i is not
-* positive definite, and the solution has not been
-* computed. The factorization has not been completed
-* unless i = N.
-*
* =====================================================================
*
* .. External Subroutines ..
@@ -85,7 +153,7 @@
RETURN
END IF
*
-* Compute the L*D*L' (or U'*D*U) factorization of A.
+* Compute the L*D*L**H (or U**H*D*U) factorization of A.
*
CALL ZPTTRF( N, D, E, INFO )
IF( INFO.EQ.0 ) THEN