--- rpl/lapack/lapack/dsptrd.f 2011/07/22 07:38:11 1.8
+++ rpl/lapack/lapack/dsptrd.f 2011/11/21 20:43:04 1.9
@@ -1,9 +1,159 @@
+*> \brief \b DSPTRD
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DSPTRD + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DSPTRD( UPLO, N, AP, D, E, TAU, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AP( * ), D( * ), E( * ), TAU( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DSPTRD reduces a real symmetric matrix A stored in packed form to
+*> symmetric tridiagonal form T by an orthogonal similarity
+*> transformation: Q**T * A * Q = T.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AP
+*> \verbatim
+*> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*> On entry, the upper or lower triangle of the symmetric matrix
+*> A, packed columnwise in a linear array. The j-th column of A
+*> is stored in the array AP as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
+*> On exit, if UPLO = 'U', the diagonal and first superdiagonal
+*> of A are overwritten by the corresponding elements of the
+*> tridiagonal matrix T, and the elements above the first
+*> superdiagonal, with the array TAU, represent the orthogonal
+*> matrix Q as a product of elementary reflectors; if UPLO
+*> = 'L', the diagonal and first subdiagonal of A are over-
+*> written by the corresponding elements of the tridiagonal
+*> matrix T, and the elements below the first subdiagonal, with
+*> the array TAU, represent the orthogonal matrix Q as a product
+*> of elementary reflectors. See Further Details.
+*> \endverbatim
+*>
+*> \param[out] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (N)
+*> The diagonal elements of the tridiagonal matrix T:
+*> D(i) = A(i,i).
+*> \endverbatim
+*>
+*> \param[out] E
+*> \verbatim
+*> E is DOUBLE PRECISION array, dimension (N-1)
+*> The off-diagonal elements of the tridiagonal matrix T:
+*> E(i) = A(i,i+1) if UPLO = 'U', E(i) = A(i+1,i) if UPLO = 'L'.
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*> TAU is DOUBLE PRECISION array, dimension (N-1)
+*> The scalar factors of the elementary reflectors (see Further
+*> Details).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> If UPLO = 'U', the matrix Q is represented as a product of elementary
+*> reflectors
+*>
+*> Q = H(n-1) . . . H(2) H(1).
+*>
+*> Each H(i) has the form
+*>
+*> H(i) = I - tau * v * v**T
+*>
+*> where tau is a real scalar, and v is a real vector with
+*> v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in AP,
+*> overwriting A(1:i-1,i+1), and tau is stored in TAU(i).
+*>
+*> If UPLO = 'L', the matrix Q is represented as a product of elementary
+*> reflectors
+*>
+*> Q = H(1) H(2) . . . H(n-1).
+*>
+*> Each H(i) has the form
+*>
+*> H(i) = I - tau * v * v**T
+*>
+*> where tau is a real scalar, and v is a real vector with
+*> v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in AP,
+*> overwriting A(i+2:n,i), and tau is stored in TAU(i).
+*> \endverbatim
+*>
+* =====================================================================
SUBROUTINE DSPTRD( UPLO, N, AP, D, E, TAU, INFO )
*
-* -- LAPACK routine (version 3.3.1) --
+* -- LAPACK computational 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..--
-* -- April 2011 --
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -13,85 +163,6 @@
DOUBLE PRECISION AP( * ), D( * ), E( * ), TAU( * )
* ..
*
-* Purpose
-* =======
-*
-* DSPTRD reduces a real symmetric matrix A stored in packed form to
-* symmetric tridiagonal form T by an orthogonal similarity
-* transformation: Q**T * A * Q = T.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-* On entry, the upper or lower triangle of the symmetric matrix
-* A, packed columnwise in a linear array. The j-th column of A
-* is stored in the array AP as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
-* On exit, if UPLO = 'U', the diagonal and first superdiagonal
-* of A are overwritten by the corresponding elements of the
-* tridiagonal matrix T, and the elements above the first
-* superdiagonal, with the array TAU, represent the orthogonal
-* matrix Q as a product of elementary reflectors; if UPLO
-* = 'L', the diagonal and first subdiagonal of A are over-
-* written by the corresponding elements of the tridiagonal
-* matrix T, and the elements below the first subdiagonal, with
-* the array TAU, represent the orthogonal matrix Q as a product
-* of elementary reflectors. See Further Details.
-*
-* D (output) DOUBLE PRECISION array, dimension (N)
-* The diagonal elements of the tridiagonal matrix T:
-* D(i) = A(i,i).
-*
-* E (output) DOUBLE PRECISION array, dimension (N-1)
-* The off-diagonal elements of the tridiagonal matrix T:
-* E(i) = A(i,i+1) if UPLO = 'U', E(i) = A(i+1,i) if UPLO = 'L'.
-*
-* TAU (output) DOUBLE PRECISION array, dimension (N-1)
-* The scalar factors of the elementary reflectors (see Further
-* Details).
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* Further Details
-* ===============
-*
-* If UPLO = 'U', the matrix Q is represented as a product of elementary
-* reflectors
-*
-* Q = H(n-1) . . . H(2) H(1).
-*
-* Each H(i) has the form
-*
-* H(i) = I - tau * v * v**T
-*
-* where tau is a real scalar, and v is a real vector with
-* v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in AP,
-* overwriting A(1:i-1,i+1), and tau is stored in TAU(i).
-*
-* If UPLO = 'L', the matrix Q is represented as a product of elementary
-* reflectors
-*
-* Q = H(1) H(2) . . . H(n-1).
-*
-* Each H(i) has the form
-*
-* H(i) = I - tau * v * v**T
-*
-* where tau is a real scalar, and v is a real vector with
-* v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in AP,
-* overwriting A(i+2:n,i), and tau is stored in TAU(i).
-*
* =====================================================================
*
* .. Parameters ..