octave: scripts/linear-algebra/issymmetric.m annotate

annotate scripts/linear-algebra/issymmetric.m @ 25054:6652d3823428 stable

maint: Update copyright dates in all source files.

author	John W. Eaton <jwe@octave.org>
date	Fri, 30 Mar 2018 09:19:05 -0400
parents	194eb4bd202b
children	0f98040552de

rev	line source
25054 6652d3823428 maint: Update copyright dates in all source files. John W. Eaton <jwe@octave.org> parents: 24534 diff changeset	1 ## Copyright (C) 1996-2018 John W. Eaton
9869 ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	2 ## Copyright (C) 2009 VZLU Prague
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	3 ##
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	4 ## This file is part of Octave.
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	5 ##
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	6 ## Octave is free software: you can redistribute it and/or modify it
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	7 ## under the terms of the GNU General Public License as published by
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	8 ## the Free Software Foundation, either version 3 of the License, or
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	9 ## (at your option) any later version.
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	10 ##
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	11 ## Octave is distributed in the hope that it will be useful, but
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22323 diff changeset	14 ## GNU General Public License for more details.
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	15 ##
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	16 ## You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6046 diff changeset	17 ## along with Octave; see the file COPYING. If not, see
24534 194eb4bd202b maint: Update punctuation for GPL v3 license text. Rik <rik@octave.org> parents: 23220 diff changeset	18 ## <https://www.gnu.org/licenses/>.
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	19
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	20 ## -- texinfo --
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20160 diff changeset	21 ## @deftypefn {} {} issymmetric (@var{A})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20160 diff changeset	22 ## @deftypefnx {} {} issymmetric (@var{A}, @var{tol})
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	23 ## Return true if @var{A} is a symmetric matrix within the tolerance specified
d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	24 ## by @var{tol}.
d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	25 ##
d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	26 ## The default tolerance is zero (uses faster code).
20160 03b9d17a2d95 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	27 ##
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	28 ## Matrix @var{A} is considered symmetric if
d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	29 ## @code{norm (@var{A} - @var{A}.', Inf) / norm (@var{A}, Inf) < @var{tol}}.
11431 0d9640d755b1 Improve docstrings for all isXXX functions. Rik <octave@nomad.inbox5.com> parents: 10711 diff changeset	30 ## @seealso{ishermitian, isdefinite}
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	31 ## @end deftypefn
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	32
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	33 ## Author: A. S. Hodel <scotte@eng.auburn.edu>
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	34 ## Created: August 1993
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	35 ## Adapted-By: jwe
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	36
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	37 function retval = issymmetric (A, tol = 0)
9869 ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	38
ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	39 if (nargin < 1 \|\| nargin > 2)
ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	40 print_usage ();
ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	41 endif
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	42
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	43 retval = (isnumeric (A) \|\| islogical (A)) && issquare (A);
9869 ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	44 if (retval)
ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	45 if (tol == 0)
18421 7c0db9c4e454 issymmetric.m: Fix OOM when run on large sparse matrices (bug #41426) David Spies <davidnspies@gmail.com> parents: 17744 diff changeset	46 ## Handle large sparse matrices as well as full ones
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	47 retval = nnz (A != A.') == 0;
9869 ecd750d1eabd move issymmetric & isdefinite to linear-algebra, create ishermitian Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	48 else
18921 d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	49 norm_x = norm (A, inf);
d0d0858cfab1 doc: Match docstring variable names to function variable names for linear-algebra m-files. Rik <rik@octave.org> parents: 18799 diff changeset	50 retval = norm_x == 0 \|\| norm (A - A.', inf) / norm_x <= tol;
4026 8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	51 endif
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	52 endif
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	53
8cb8eff3f44c [project @ 2002-08-09 06:54:46 by jwe] jwe parents: diff changeset	54 endfunction
7265 7da4a5262e2e [project @ 2007-12-06 19:16:47 by jwe] jwe parents: 7017 diff changeset	55
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	56
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	57 %!assert (issymmetric (1))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	58 %!assert (! issymmetric ([1, 2]))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	59 %!assert (issymmetric ([]))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	60 %!assert (issymmetric ([1, 2; 2, 1]))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	61 %!assert (! (issymmetric ("test")))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	62 %!assert (issymmetric ([1, 2.1; 2, 1.1], 0.2))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	63 %!assert (issymmetric ([1, 2i; 2i, 1]))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	64 %!assert (! (issymmetric ("t")))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	65 %!assert (! (issymmetric (["te"; "et"])))
18421 7c0db9c4e454 issymmetric.m: Fix OOM when run on large sparse matrices (bug #41426) David Spies <davidnspies@gmail.com> parents: 17744 diff changeset	66 %!assert (issymmetric (speye (100000)))
18799 9cf6d5868d21 issymmetric.m: Don't use final ';' in %!assert statement. Rik <rik@octave.org> parents: 18798 diff changeset	67 %!assert (issymmetric (logical (eye (2))))
7265 7da4a5262e2e [project @ 2007-12-06 19:16:47 by jwe] jwe parents: 7017 diff changeset	68
7da4a5262e2e [project @ 2007-12-06 19:16:47 by jwe] jwe parents: 7017 diff changeset	69 %!test
7da4a5262e2e [project @ 2007-12-06 19:16:47 by jwe] jwe parents: 7017 diff changeset	70 %! s.a = 1;
14868 5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	71 %! assert (! issymmetric (s));
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	72
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	73 %!error issymmetric ([1, 2; 2, 1], 0, 0)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	74 %!error issymmetric ()

Mercurial > octave

annotate scripts/linear-algebra/issymmetric.m @ 25054:6652d3823428 stable