view scripts/linear-algebra/logm.m @ 4334:764229f9a5c8

[project @ 2003-02-19 06:24:02 by jwe]
author jwe
date Wed, 19 Feb 2003 06:25:09 +0000
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children 4c8a2e4e0717
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## Copyright (C) 2003 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 this program; see the file COPYING.  If not, write to the
## Free Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.

## -*- texinfo -*-
## @deftypefn {Function File} {} logm (@var{a})
## Compute the matrix logarithm of the square matrix @var{a}.  Note that
## this is currently implemented in terms of an eigenvalue expansion and
## needs to be improved to be more robust.
## @end deftypefn

function B = logm (A)

  if (nargin != 1)
    usage ("B = logm (A)");
  endif

  [V, D] = eig (A);
  B = V * diag (log (diag (D))) * inv (V);

endfunction