--- rpl/lapack/lapack/dsytf2.f	2010/12/21 13:53:39	1.7
+++ rpl/lapack/lapack/dsytf2.f	2011/07/22 07:38:11	1.8
@@ -1,9 +1,9 @@
       SUBROUTINE DSYTF2( UPLO, N, A, LDA, IPIV, INFO )
 *
-*  -- LAPACK routine (version 3.2) --
+*  -- LAPACK routine (version 3.3.1) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     November 2006
+*  -- April 2011                                                      --
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -20,10 +20,10 @@
 *  DSYTF2 computes the factorization of a real symmetric matrix A using
 *  the Bunch-Kaufman diagonal pivoting method:
 *
-*     A = U*D*U'  or  A = L*D*L'
+*     A = U*D*U**T  or  A = L*D*L**T
 *
 *  where U (or L) is a product of permutation and unit upper (lower)
-*  triangular matrices, U' is the transpose of U, and D is symmetric and
+*  triangular matrices, U**T is the transpose of U, and D is symmetric and
 *  block diagonal with 1-by-1 and 2-by-2 diagonal blocks.
 *
 *  This is the unblocked version of the algorithm, calling Level 2 BLAS.
@@ -90,7 +90,7 @@
 *  1-96 - Based on modifications by J. Lewis, Boeing Computer Services
 *         Company
 *
-*  If UPLO = 'U', then A = U*D*U', where
+*  If UPLO = 'U', then A = U*D*U**T, where
 *     U = P(n)*U(n)* ... *P(k)U(k)* ...,
 *  i.e., U is a product of terms P(k)*U(k), where k decreases from n to
 *  1 in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
@@ -107,7 +107,7 @@
 *  If s = 2, the upper triangle of D(k) overwrites A(k-1,k-1), A(k-1,k),
 *  and A(k,k), and v overwrites A(1:k-2,k-1:k).
 *
-*  If UPLO = 'L', then A = L*D*L', where
+*  If UPLO = 'L', then A = L*D*L**T, where
 *     L = P(1)*L(1)* ... *P(k)*L(k)* ...,
 *  i.e., L is a product of terms P(k)*L(k), where k increases from 1 to
 *  n in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
@@ -173,7 +173,7 @@
 *
       IF( UPPER ) THEN
 *
-*        Factorize A as U*D*U' using the upper triangle of A
+*        Factorize A as U*D*U**T using the upper triangle of A
 *
 *        K is the main loop index, decreasing from N to 1 in steps of
 *        1 or 2
@@ -279,7 +279,7 @@
 *
 *              Perform a rank-1 update of A(1:k-1,1:k-1) as
 *
-*              A := A - U(k)*D(k)*U(k)' = A - W(k)*1/D(k)*W(k)'
+*              A := A - U(k)*D(k)*U(k)**T = A - W(k)*1/D(k)*W(k)**T
 *
                R1 = ONE / A( K, K )
                CALL DSYR( UPLO, K-1, -R1, A( 1, K ), 1, A, LDA )
@@ -298,8 +298,8 @@
 *
 *              Perform a rank-2 update of A(1:k-2,1:k-2) as
 *
-*              A := A - ( U(k-1) U(k) )*D(k)*( U(k-1) U(k) )'
-*                 = A - ( W(k-1) W(k) )*inv(D(k))*( W(k-1) W(k) )'
+*              A := A - ( U(k-1) U(k) )*D(k)*( U(k-1) U(k) )**T
+*                 = A - ( W(k-1) W(k) )*inv(D(k))*( W(k-1) W(k) )**T
 *
                IF( K.GT.2 ) THEN
 *
@@ -341,7 +341,7 @@
 *
       ELSE
 *
-*        Factorize A as L*D*L' using the lower triangle of A
+*        Factorize A as L*D*L**T using the lower triangle of A
 *
 *        K is the main loop index, increasing from 1 to N in steps of
 *        1 or 2
@@ -450,7 +450,7 @@
 *
 *                 Perform a rank-1 update of A(k+1:n,k+1:n) as
 *
-*                 A := A - L(k)*D(k)*L(k)' = A - W(k)*(1/D(k))*W(k)'
+*                 A := A - L(k)*D(k)*L(k)**T = A - W(k)*(1/D(k))*W(k)**T
 *
                   D11 = ONE / A( K, K )
                   CALL DSYR( UPLO, N-K, -D11, A( K+1, K ), 1,
@@ -468,7 +468,7 @@
 *
 *                 Perform a rank-2 update of A(k+2:n,k+2:n) as
 *
-*                 A := A - ( (A(k) A(k+1))*D(k)**(-1) ) * (A(k) A(k+1))'
+*                 A := A - ( (A(k) A(k+1))*D(k)**(-1) ) * (A(k) A(k+1))**T
 *
 *                 where L(k) and L(k+1) are the k-th and (k+1)-th
 *                 columns of L