--- rpl/lapack/lapack/dspsv.f	2011/07/22 07:38:11	1.8
+++ rpl/lapack/lapack/dspsv.f	2011/11/21 20:43:03	1.9
@@ -1,9 +1,171 @@
+*> \brief <b> DSPSV computes the solution to system of linear equations A * X = B for OTHER matrices</b>
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DSPSV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dspsv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dspsv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dspsv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DSPSV( UPLO, N, NRHS, AP, IPIV, B, LDB, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDB, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       DOUBLE PRECISION   AP( * ), B( LDB, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DSPSV computes the solution to a real system of linear equations
+*>    A * X = B,
+*> where A is an N-by-N symmetric matrix stored in packed format and X
+*> and B are N-by-NRHS matrices.
+*>
+*> The diagonal pivoting method is used to factor A as
+*>    A = U * D * U**T,  if UPLO = 'U', or
+*>    A = L * D * L**T,  if UPLO = 'L',
+*> where U (or L) is a product of permutation and unit upper (lower)
+*> triangular matrices, D is symmetric and block diagonal with 1-by-1
+*> and 2-by-2 diagonal blocks.  The factored form of A is then used to
+*> solve the system of equations A * X = B.
+*> \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 number of linear equations, i.e., 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] 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)*(2n-j)/2) = A(i,j) for j<=i<=n.
+*>          See below for further details.
+*>
+*>          On exit, the block diagonal matrix D and the multipliers used
+*>          to obtain the factor U or L from the factorization
+*>          A = U*D*U**T or A = L*D*L**T as computed by DSPTRF, stored as
+*>          a packed triangular matrix in the same storage format as A.
+*> \endverbatim
+*>
+*> \param[out] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          Details of the interchanges and the block structure of D, as
+*>          determined by DSPTRF.  If IPIV(k) > 0, then rows and columns
+*>          k and IPIV(k) were interchanged, and D(k,k) is a 1-by-1
+*>          diagonal block.  If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0,
+*>          then rows and columns k-1 and -IPIV(k) were interchanged and
+*>          D(k-1:k,k-1:k) is a 2-by-2 diagonal block.  If UPLO = 'L' and
+*>          IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and
+*>          -IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2-by-2
+*>          diagonal block.
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*>          B is DOUBLE PRECISION 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, D(i,i) is exactly zero.  The factorization
+*>                has been completed, but the block diagonal matrix D is
+*>                exactly singular, so the solution could not be
+*>                computed.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERsolve
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The packed storage scheme is illustrated by the following example
+*>  when N = 4, UPLO = 'U':
+*>
+*>  Two-dimensional storage of the symmetric matrix A:
+*>
+*>     a11 a12 a13 a14
+*>         a22 a23 a24
+*>             a33 a34     (aij = aji)
+*>                 a44
+*>
+*>  Packed storage of the upper triangle of A:
+*>
+*>  AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ]
+*> \endverbatim
+*>
+*  =====================================================================
       SUBROUTINE DSPSV( UPLO, N, NRHS, AP, IPIV, B, LDB, INFO )
 *
-*  -- LAPACK driver routine (version 3.3.1) --
+*  -- LAPACK driver 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
@@ -14,93 +176,6 @@
       DOUBLE PRECISION   AP( * ), B( LDB, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  DSPSV computes the solution to a real system of linear equations
-*     A * X = B,
-*  where A is an N-by-N symmetric matrix stored in packed format and X
-*  and B are N-by-NRHS matrices.
-*
-*  The diagonal pivoting method is used to factor A as
-*     A = U * D * U**T,  if UPLO = 'U', or
-*     A = L * D * L**T,  if UPLO = 'L',
-*  where U (or L) is a product of permutation and unit upper (lower)
-*  triangular matrices, D is symmetric and block diagonal with 1-by-1
-*  and 2-by-2 diagonal blocks.  The factored form of A is then used to
-*  solve the system of equations A * X = B.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          = 'U':  Upper triangle of A is stored;
-*          = 'L':  Lower triangle of A is stored.
-*
-*  N       (input) INTEGER
-*          The number of linear equations, i.e., 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.
-*
-*  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)*(2n-j)/2) = A(i,j) for j<=i<=n.
-*          See below for further details.
-*
-*          On exit, the block diagonal matrix D and the multipliers used
-*          to obtain the factor U or L from the factorization
-*          A = U*D*U**T or A = L*D*L**T as computed by DSPTRF, stored as
-*          a packed triangular matrix in the same storage format as A.
-*
-*  IPIV    (output) INTEGER array, dimension (N)
-*          Details of the interchanges and the block structure of D, as
-*          determined by DSPTRF.  If IPIV(k) > 0, then rows and columns
-*          k and IPIV(k) were interchanged, and D(k,k) is a 1-by-1
-*          diagonal block.  If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0,
-*          then rows and columns k-1 and -IPIV(k) were interchanged and
-*          D(k-1:k,k-1:k) is a 2-by-2 diagonal block.  If UPLO = 'L' and
-*          IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and
-*          -IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2-by-2
-*          diagonal block.
-*
-*  B       (input/output) DOUBLE PRECISION 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.
-*
-*  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, D(i,i) is exactly zero.  The factorization
-*                has been completed, but the block diagonal matrix D is
-*                exactly singular, so the solution could not be
-*                computed.
-*
-*  Further Details
-*  ===============
-*
-*  The packed storage scheme is illustrated by the following example
-*  when N = 4, UPLO = 'U':
-*
-*  Two-dimensional storage of the symmetric matrix A:
-*
-*     a11 a12 a13 a14
-*         a22 a23 a24
-*             a33 a34     (aij = aji)
-*                 a44
-*
-*  Packed storage of the upper triangle of A:
-*
-*  AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ]
-*
 *  =====================================================================
 *
 *     .. External Functions ..