X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Fm%2Flinear-algebra%2Fishermitian.m;fp=octave_packages%2Fm%2Flinear-algebra%2Fishermitian.m;h=a5702a3591a1301693772ada0b46446a04ec4b96;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/linear-algebra/ishermitian.m b/octave_packages/m/linear-algebra/ishermitian.m new file mode 100644 index 0000000..a5702a3 --- /dev/null +++ b/octave_packages/m/linear-algebra/ishermitian.m @@ -0,0 +1,67 @@ +## Copyright (C) 1996-2012 John W. Eaton +## Copyright (C) 2009 VZLU Prague +## +## 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 3 of the License, 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, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} ishermitian (@var{x}) +## @deftypefnx {Function File} {} ishermitian (@var{x}, @var{tol}) +## Return true if @var{x} is Hermitian within the tolerance specified by +## @var{tol}. +## The default tolerance is zero (uses faster code). +## Matrix @var{x} is considered symmetric if +## @code{norm (@var{x} - @var{x}', Inf) / norm (@var{x}, Inf) < @var{tol}}. +## @seealso{issymmetric, isdefinite} +## @end deftypefn + +## Author: A. S. Hodel +## Created: August 1993 +## Adapted-By: jwe + +function retval = ishermitian (x, tol = 0) + + if (nargin < 1 || nargin > 2) + print_usage (); + endif + + retval = isnumeric (x) && issquare (x); + if (retval) + if (tol == 0) + retval = all ((x == x')(:)); + else + norm_x = norm (x, inf); + retval = norm_x == 0 || norm (x - x', inf) / norm_x <= tol; + endif + endif + +endfunction + +%!assert(ishermitian (1)); +%!assert(!(ishermitian ([1, 2]))); +%!assert(ishermitian ([])); +%!assert(ishermitian ([1, 2; 2, 1])); +%!assert(!(ishermitian ("test"))); +%!assert(ishermitian ([1, 2.1; 2, 1.1], 0.2)); +%!assert(ishermitian ([1, -2i; 2i, 1])); +%!assert(!(ishermitian ("t"))); +%!assert(!(ishermitian (["te"; "et"]))); +%!error ishermitian ([1, 2; 2, 1], 0, 0); +%!error ishermitian (); + +%!test +%! s.a = 1; +%! assert(!(ishermitian (s)));