--- rpl/lapack/lapack/dpttrf.f 2010/01/26 15:22:45 1.1
+++ rpl/lapack/lapack/dpttrf.f 2017/06/17 11:06:32 1.17
@@ -1,9 +1,100 @@
+*> \brief \b DPTTRF
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DPTTRF + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DPTTRF( N, D, E, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION D( * ), E( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DPTTRF computes the L*D*L**T factorization of a real symmetric
+*> positive definite tridiagonal matrix A. The factorization may also
+*> be regarded as having the form A = U**T*D*U.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 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 L*D*L**T factorization of A.
+*> \endverbatim
+*>
+*> \param[in,out] E
+*> \verbatim
+*> E is DOUBLE PRECISION 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**T factorization of A.
+*> E can also be regarded as the superdiagonal of the unit
+*> bidiagonal factor U from the U**T*D*U factorization of A.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -k, the k-th argument had an illegal value
+*> > 0: if INFO = k, the leading minor of order k is not
+*> positive definite; if k < N, the factorization could not
+*> be completed, while if k = N, the factorization was
+*> completed, but D(N) <= 0.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup doublePTcomputational
+*
+* =====================================================================
SUBROUTINE DPTTRF( N, D, E, INFO )
*
-* -- LAPACK 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 INFO, N
@@ -12,39 +103,6 @@
DOUBLE PRECISION D( * ), E( * )
* ..
*
-* Purpose
-* =======
-*
-* DPTTRF computes the L*D*L' factorization of a real symmetric
-* positive definite tridiagonal matrix A. The factorization may also
-* be regarded as having the form A = U'*D*U.
-*
-* Arguments
-* =========
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 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 L*D*L' factorization of A.
-*
-* E (input/output) DOUBLE PRECISION 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' factorization of A.
-* E can also be regarded as the superdiagonal of the unit
-* bidiagonal factor U from the U'*D*U factorization of A.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -k, the k-th argument had an illegal value
-* > 0: if INFO = k, the leading minor of order k is not
-* positive definite; if k < N, the factorization could not
-* be completed, while if k = N, the factorization was
-* completed, but D(N) <= 0.
-*
* =====================================================================
*
* .. Parameters ..
@@ -77,7 +135,7 @@
IF( N.EQ.0 )
$ RETURN
*
-* Compute the L*D*L' (or U'*D*U) factorization of A.
+* Compute the L*D*L**T (or U**T*D*U) factorization of A.
*
I4 = MOD( N-1, 4 )
DO 10 I = 1, I4