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Create local repository for matrix toolboxes. Step #0 done.
author Antonio Pino Robles <data.script93@gmail.com>
date Wed, 06 May 2015 14:56:53 +0200
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8f23314345f4 Create local repository for matrix toolboxes. Step #0 done.
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1 function A = matrix(k, n)
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2 %MATRIX Test matrices accessed by number.
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3 % MATRIX(K, N) is the N-by-N instance of matrix number K in
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4 % a set of test matrices comprising those in MATLAB plus those
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5 % in the Matrix Computation Toolbox,
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6 % with all other parameters set to their default.
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7 % N.B. - Only those matrices which are full and take an arbitrary
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8 % dimension N are included.
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9 % - Some of these matrices are random.
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10 % MATRIX(K) is a string containing the name of the K'th matrix.
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11 % MATRIX(0) is the number of matrices, i.e. the upper limit for K.
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12 % Thus to set A to each N-by-N test matrix in turn use a loop like
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13 % for k=1:matrix(0)
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14 % A = matrix(k, N);
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15 % Aname = matrix(k); % The name of the matrix
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16 % end
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17 % MATRIX(-1) returns the version number and date of the
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18 % Matrix Computation Toolbox.
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19 % MATRIX with no arguments lists the names and numbers of the M-files in the
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20 % collection.
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21
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22 % References:
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23 % N. J. Higham, Accuracy and Stability of Numerical Algorithms,
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24 % Second edition, Society for Industrial and Applied Mathematics,
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25 % Philadelphia, PA, 2002; sec. 20.5.
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26
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27 % Matrices from gallery:
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28 matrices = [%
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29 'cauchy '; 'chebspec'; 'chebvand'; 'chow ';
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30 'circul '; 'clement '; 'condex ';
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31 'cycol '; 'dramadah'; 'fiedler ';
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32 'forsythe'; 'frank '; 'gearmat '; 'grcar ';
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33 'invhess '; 'invol '; 'ipjfact '; 'jordbloc';
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34 'kahan '; 'kms '; 'krylov '; 'lehmer ';
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35 'lesp '; 'lotkin '; 'minij '; 'moler ';
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36 'orthog '; 'parter '; 'pei '; 'prolate ';
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37 'randcolu'; 'randcorr'; 'rando '; 'randsvd ';
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38 'redheff '; 'riemann '; 'ris '; 'smoke ';
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39 'toeppd '; 'triw ';];
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40 n_gall = length(matrices);
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41
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42 % Other MATLAB matrices:
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43 matrices = [matrices;
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44 'hilb '; 'invhilb '; 'magic '; 'pascal ';
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45 'rand '; 'randn ';];
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46 n_MATLAB = length(matrices);
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47
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48 % Matrices from Matrix Computation Toolbox:
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49 matrices = [matrices;
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50 'augment '; 'gfpp '; 'magic '; 'makejcf ';
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51 'rschur '; 'vand '];
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52 n_mats = length(matrices);
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53
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54 if nargin == 0
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55
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56 rows = ceil(n_mats/5);
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57 temp = zeros(rows,5);
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58 temp(1:n_mats) = 1:n_mats;
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59
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60 for i = 1:rows
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61 for j = 1:5
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62 if temp(i,j) == 0, continue, end
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63 fprintf(['%2.0f: ' sprintf('%s',matrices(temp(i,j),:)) ' '], ...
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64 temp(i,j))
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65 end
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66 fprintf('\n')
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67 end
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68 fprintf('Matrices 1 to %1.0f are from MATLAB\.', n_MATLAB)
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69
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70 elseif nargin == 1
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71 if k == 0
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72 A = length(matrices);
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73 elseif k > 0
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74 A = deblank(matrices(k,:));
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75 else
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76 % Version number and date of collection.
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77 A = 'Version 1.2, September 5 2002';
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78 end
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79 else
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80 if k <= n_gall
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81 A = eval( ['gallery(''' deblank(matrices(k,:)) ''',n)'] );
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82 else
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83 A = eval( [deblank(matrices(k,:)) '(n)'] );
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84 end
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85 end