Mercurial > matrix-functions
annotate toolbox/gersh.m @ 0:8f23314345f4 draft
Create local repository for matrix toolboxes. Step #0 done.
author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Wed, 06 May 2015 14:56:53 +0200 |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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1 function [G, e] = gersh(A, noplot) |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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2 %GERSH Gershgorin disks. |
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3 % GERSH(A) draws the Gershgorin disks for the matrix A. |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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4 % The eigenvalues are plotted as crosses `x'. |
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Antonio Pino Robles <data.script93@gmail.com>
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5 % Alternative usage: [G, E] = GERSH(A, 1) suppresses the plot |
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Create local repository for matrix toolboxes. Step #0 done.
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6 % and returns the data in G, with A's eigenvalues in E. |
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Antonio Pino Robles <data.script93@gmail.com>
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7 % |
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8 % Try GERSH(LESP(N)) and GERSH(SMOKE(N,1)). |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
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9 |
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10 if diff(size(A)), error('Matrix must be square.'), end |
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Antonio Pino Robles <data.script93@gmail.com>
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11 |
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12 n = max(size(A)); |
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13 m = 40; |
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14 G = zeros(m,n); |
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15 |
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16 d = diag(A); |
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17 r = sum( abs( A.'-diag(d) ) )'; |
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18 e = eig(A); |
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19 |
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20 radvec = exp(i * seqa(0,2*pi,m)'); |
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21 |
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22 for j=1:n |
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23 G(:,j) = d(j)*ones(size(radvec)) + r(j)*radvec; |
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24 end |
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25 |
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26 if nargin < 2 |
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27 |
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28 ax = cpltaxes(G(:)); |
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29 for j=1:n |
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30 plot(real(G(:,j)), imag(G(:,j)),'-c5') % Plot the disks. |
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31 hold on |
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32 end |
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33 plot(real(e), imag(e), 'xg') % Plot the eigenvalues too. |
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34 axis(ax); |
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35 axis('square'); |
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36 hold off |
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37 |
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38 end |