new file mode 100644
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+++ b/liboctave/CmplxHESS.cc
@@ -0,0 +1,119 @@
+//                                        -*- C++ -*-
+/*
+
+Copyright (C) 1992, 1993, 1994 John W. Eaton
+
+This file is part of Octave.
+
+Octave is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 2, or (at your option) any
+later version.
+
+Octave is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with Octave; see the file COPYING.  If not, write to the Free
+Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
+
+*/
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#if defined (__GNUG__)
+#pragma implementation
+#endif
+
+#include "CmplxHESS.h"
+#include "mx-inlines.cc"
+#include "lo-error.h"
+#include "f77-uscore.h"
+
+extern "C"
+{
+  int F77_FCN (zgebal) (const char*, const int*, Complex*, const int*,
+                        int*, int*, double*, int*, long, long);
+ 
+  int F77_FCN (zgebak) (const char*, const char*, const int*, const int*,
+			const int*, double*, const int*, Complex*, 
+			const int*, int*, long, long);
+
+  int F77_FCN (zgehrd) (const int*, const int*, const int*, Complex*,
+                        const int*, Complex*, Complex*, const int*,
+                        int*, long, long);
+ 
+  int F77_FCN (zunghr) (const int*, const int*, const int*, Complex*,
+                        const int*, Complex*, Complex*, const int*,
+                        int*, long, long);
+}
+
+int
+ComplexHESS::init (const ComplexMatrix& a)
+{
+  int a_nr = a.rows ();
+  int a_nc = a.cols ();
+   if (a_nr != a_nc)
+     {
+       (*current_liboctave_error_handler)
+	 ("ComplexHESS requires square matrix");
+       return -1;
+     }
+
+   char job = 'N';
+   char side = 'R';
+
+   int n = a_nc;
+   int lwork = 32 * n;
+   int info;
+   int ilo;
+   int ihi;
+
+   Complex *h = dup (a.data (), a.length ());
+
+   double *scale = new double [n];
+   Complex *tau = new Complex [n-1];
+   Complex *work = new Complex [lwork];
+   Complex *z = new Complex [n*n];
+
+   F77_FCN (zgebal) (&job, &n, h, &n, &ilo, &ihi, scale, &info, 1L, 1L);
+
+   F77_FCN (zgehrd) (&n, &ilo, &ihi, h, &n, tau, work, &lwork, &info, 1L,
+		     1L);
+
+   copy (z, h, n*n);
+
+   F77_FCN (zunghr) (&n, &ilo, &ihi, z, &n, tau, work, &lwork, &info, 1L,
+		     1L);
+
+   F77_FCN (zgebak) (&job, &side, &n, &ilo, &ihi, scale, &n, z, &n, &info,
+		     1L, 1L); 
+
+   hess_mat = ComplexMatrix (h,n,n);
+   unitary_hess_mat = ComplexMatrix (z,n,n);
+
+// If someone thinks of a more graceful way of doing this (or faster for
+// that matter :-)), please let me know!
+
+   if (n > 2)
+     for (int j = 0; j < a_nc; j++)
+       for (int i = j+2; i < a_nr; i++)
+         hess_mat.elem (i, j) = 0;
+
+   delete [] work;
+   delete [] tau;
+   delete [] scale;
+
+   return info;
+}
+
+/*
+;;; Local Variables: ***
+;;; mode: C++ ***
+;;; page-delimiter: "^/\\*" ***
+;;; End: ***
+*/