--- rpl/lapack/lapack/dlabrd.f	2010/12/21 13:53:28	1.7
+++ rpl/lapack/lapack/dlabrd.f	2011/07/22 07:38:06	1.8
@@ -1,10 +1,10 @@
       SUBROUTINE DLABRD( M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y,
      $                   LDY )
 *
-*  -- LAPACK auxiliary routine (version 3.2) --
+*  -- LAPACK auxiliary 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 ..
       INTEGER            LDA, LDX, LDY, M, N, NB
@@ -19,7 +19,7 @@
 *
 *  DLABRD reduces the first NB rows and columns of a real general
 *  m by n matrix A to upper or lower bidiagonal form by an orthogonal
-*  transformation Q' * A * P, and returns the matrices X and Y which
+*  transformation Q**T * A * P, and returns the matrices X and Y which
 *  are needed to apply the transformation to the unreduced part of A.
 *
 *  If m >= n, A is reduced to upper bidiagonal form; if m < n, to lower
@@ -81,14 +81,14 @@
 *          of A.
 *
 *  LDX     (input) INTEGER
-*          The leading dimension of the array X. LDX >= M.
+*          The leading dimension of the array X. LDX >= max(1,M).
 *
 *  Y       (output) DOUBLE PRECISION array, dimension (LDY,NB)
 *          The n-by-nb matrix Y required to update the unreduced part
 *          of A.
 *
 *  LDY     (input) INTEGER
-*          The leading dimension of the array Y. LDY >= N.
+*          The leading dimension of the array Y. LDY >= max(1,N).
 *
 *  Further Details
 *  ===============
@@ -100,7 +100,7 @@
 *
 *  Each H(i) and G(i) has the form:
 *
-*     H(i) = I - tauq * v * v'  and G(i) = I - taup * u * u'
+*     H(i) = I - tauq * v * v**T  and G(i) = I - taup * u * u**T
 *
 *  where tauq and taup are real scalars, and v and u are real vectors.
 *
@@ -113,9 +113,9 @@
 *  A(i,i+1:n); tauq is stored in TAUQ(i) and taup in TAUP(i).
 *
 *  The elements of the vectors v and u together form the m-by-nb matrix
-*  V and the nb-by-n matrix U' which are needed, with X and Y, to apply
+*  V and the nb-by-n matrix U**T which are needed, with X and Y, to apply
 *  the transformation to the unreduced part of the matrix, using a block
-*  update of the form:  A := A - V*Y' - X*U'.
+*  update of the form:  A := A - V*Y**T - X*U**T.
 *
 *  The contents of A on exit are illustrated by the following examples
 *  with nb = 2: