--- rpl/lapack/lapack/dsptrd.f	2010/12/21 13:53:38	1.7
+++ rpl/lapack/lapack/dsptrd.f	2011/07/22 07:38:11	1.8
@@ -1,9 +1,9 @@
       SUBROUTINE DSPTRD( UPLO, N, AP, D, E, TAU, 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
@@ -73,7 +73,7 @@
 *
 *  Each H(i) has the form
 *
-*     H(i) = I - tau * v * v'
+*     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,
@@ -86,7 +86,7 @@
 *
 *  Each H(i) has the form
 *
-*     H(i) = I - tau * v * v'
+*     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,
@@ -141,7 +141,7 @@
          I1 = N*( N-1 ) / 2 + 1
          DO 10 I = N - 1, 1, -1
 *
-*           Generate elementary reflector H(i) = I - tau * v * v'
+*           Generate elementary reflector H(i) = I - tau * v * v**T
 *           to annihilate A(1:i-1,i+1)
 *
             CALL DLARFG( I, AP( I1+I-1 ), AP( I1 ), 1, TAUI )
@@ -158,13 +158,13 @@
                CALL DSPMV( UPLO, I, TAUI, AP, AP( I1 ), 1, ZERO, TAU,
      $                     1 )
 *
-*              Compute  w := y - 1/2 * tau * (y'*v) * v
+*              Compute  w := y - 1/2 * tau * (y**T *v) * v
 *
                ALPHA = -HALF*TAUI*DDOT( I, TAU, 1, AP( I1 ), 1 )
                CALL DAXPY( I, ALPHA, AP( I1 ), 1, TAU, 1 )
 *
 *              Apply the transformation as a rank-2 update:
-*                 A := A - v * w' - w * v'
+*                 A := A - v * w**T - w * v**T
 *
                CALL DSPR2( UPLO, I, -ONE, AP( I1 ), 1, TAU, 1, AP )
 *
@@ -184,7 +184,7 @@
          DO 20 I = 1, N - 1
             I1I1 = II + N - I + 1
 *
-*           Generate elementary reflector H(i) = I - tau * v * v'
+*           Generate elementary reflector H(i) = I - tau * v * v**T
 *           to annihilate A(i+2:n,i)
 *
             CALL DLARFG( N-I, AP( II+1 ), AP( II+2 ), 1, TAUI )
@@ -201,14 +201,14 @@
                CALL DSPMV( UPLO, N-I, TAUI, AP( I1I1 ), AP( II+1 ), 1,
      $                     ZERO, TAU( I ), 1 )
 *
-*              Compute  w := y - 1/2 * tau * (y'*v) * v
+*              Compute  w := y - 1/2 * tau * (y**T *v) * v
 *
                ALPHA = -HALF*TAUI*DDOT( N-I, TAU( I ), 1, AP( II+1 ),
      $                 1 )
                CALL DAXPY( N-I, ALPHA, AP( II+1 ), 1, TAU( I ), 1 )
 *
 *              Apply the transformation as a rank-2 update:
-*                 A := A - v * w' - w * v'
+*                 A := A - v * w**T - w * v**T
 *
                CALL DSPR2( UPLO, N-I, -ONE, AP( II+1 ), 1, TAU( I ), 1,
      $                     AP( I1I1 ) )