Mercurial > octave
annotate scripts/special-matrix/wilkinson.m @ 27985:9f9ac219896d
maint: Remove remaining "Author:" instances from code base.
* __ftp__.cc, load-save.cc, urlwrite.cc, xnorm.cc, xnorm.h, cconv2.f,
cdotc3.f, cmatm3.f, csconv2.f, dconv2.f, ddot3.f, dmatm3.f, sconv2.f, sdot3.f,
smatm3.f, zconv2.f, zdconv2.f, zdotc3.f, zmatm3.f, crsf2csf.f, zrsf2csf.f,
oct-norm.cc, oct-norm.h, lin2mu.m, mu2lin.m, bincoeff.m, blkdiag.m, deal.m,
gradient.m, interpft.m, nextpow2.m, postpad.m, prepad.m, repmat.m, shift.m,
xor.m, griddata.m, rotx.m, roty.m, rotz.m, voronoin.m, getappdata.m,
isappdata.m, rmappdata.m, setappdata.m, colormap.m, gray.m, gray2ind.m,
im2double.m, image.m, imagesc.m, imread.m, imshow.m, ind2gray.m, ind2rgb.m,
ocean.m, __imread__.m, rgb2ind.m, javachk.m, ClassHelper.java, usejava.m,
findstr.m, commutation_matrix.m, cross.m, gls.m, housh.m, isdefinite.m,
ishermitian.m, issymmetric.m, logm.m, null.m, ols.m, orth.m, qzhess.m, rref.m,
dos.m, nargoutchk.m, orderfields.m, parseparams.m, __w2mpth__.m, unix.m,
untar.m, unzip.m, expand_rel_paths.m, make_rel_paths.m, daspect.m, orient.m,
pbaspect.m, rticks.m, thetaticks.m, xticklabels.m, xticks.m, yticklabels.m,
yticks.m, zticklabels.m, zticks.m, comet.m, contourf.m, plot3.m, cla.m,
copyobj.m, findfigs.m, hdl2struct.m, linkaxes.m, __ghostscript__.m,
__gnuplot_get_var__.m, __gnuplot_has_feature__.m, __gnuplot_has_terminal__.m,
__gnuplot_open_stream__.m, __gnuplot_print__.m, struct2hdl.m, subplot.m,
compan.m, conv.m, deconv.m, mpoles.m, poly.m, polyder.m, polyfit.m, polyint.m,
polyout.m, polyreduce.m, polyval.m, polyvalm.m, residue.m, roots.m, ismember.m,
__parse_movargs__.m, detrend.m, fftconv.m, fftfilt.m, fftshift.m, filter2.m,
movfun.m, movslice.m, ichol.m, pcg.m, beta.m, ellipke.m, lcm.m, nchoosek.m,
pow2.m, primes.m, pascal.m, rosser.m, wilkinson.m, corr.m, kurtosis.m,
skewness.m, base2dec.m, bin2dec.m, blanks.m, deblank.m, dec2base.m, dec2bin.m,
dec2hex.m, hex2dec.m, index.m, rindex.m, strjoin.m, substr.m, untabify.m,
calendar.m, datestr.m, eomday.m, now.m, weekday.m:
Remove remaining "Author:" instances from code base.
author | Rik <rik@octave.org> |
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date | Tue, 21 Jan 2020 14:35:03 -0800 |
parents | bd51beb6205e |
children | d8318c12d903 0a5b15007766 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 1999-2020 The Octave Project Developers |
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4 ## |
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5 ## See the file COPYRIGHT.md in the top-level directory of this |
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6 ## distribution or <https://octave.org/copyright/>. |
5827 | 7 ## |
8 ## This file is part of Octave. | |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
5827 | 11 ## under the terms of the GNU General Public License as published by |
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12 ## the Free Software Foundation, either version 3 of the License, or |
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13 ## (at your option) any later version. |
5827 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
16 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 ## GNU General Public License for more details. |
5827 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 21 ## along with Octave; see the file COPYING. If not, see |
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22 ## <https://www.gnu.org/licenses/>. |
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23 ## |
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24 ######################################################################## |
5827 | 25 |
26 ## -*- texinfo -*- | |
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27 ## @deftypefn {} {} wilkinson (@var{n}) |
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28 ## Return the Wilkinson matrix of order @var{n}. |
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29 ## |
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30 ## Wilkinson matrices are symmetric and tridiagonal with pairs of nearly, but |
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31 ## not exactly, equal eigenvalues. They are useful in testing the behavior and |
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32 ## performance of eigenvalue solvers. |
5827 | 33 ## |
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34 ## @seealso{rosser, eig} |
5827 | 35 ## @end deftypefn |
36 | |
37 function retval = wilkinson (n) | |
38 | |
39 if (nargin != 1) | |
40 print_usage (); | |
41 endif | |
42 | |
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43 if (! (isscalar (n) && n >= 0 && (n == fix (n)))) |
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44 error ("wilkinson: N must be a non-negative integer"); |
5827 | 45 endif |
46 | |
47 side = ones (n-1, 1); | |
48 center = abs (-(n-1)/2:(n-1)/2); | |
49 retval = diag (side, -1) + diag (center) + diag (side, 1); | |
50 | |
51 endfunction | |
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52 |
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53 |
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54 %!assert (wilkinson (0), []) |
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55 %!assert (wilkinson (1), 0) |
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56 %!assert (wilkinson (2), [0.5,1;1,0.5]) |
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57 %!assert (wilkinson (3), [1,1,0;1,0,1;0,1,1]) |
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58 %!assert (wilkinson (4), [1.5,1,0,0;1,0.5,1,0;0,1,0.5,1;0,0,1,1.5]) |
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59 |
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60 ## Test input validation |
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61 %!error wilkinson () |
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62 %!error wilkinson (1,2) |
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63 %!error <N must be a non-negative integer> wilkinson (ones (2)) |
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64 %!error <N must be a non-negative integer> wilkinson (-1) |
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65 %!error <N must be a non-negative integer> wilkinson (1.5) |