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1 | function sys = blocks(varargin) |
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2 | % BLOCKS Internal function (Not used) |
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3 | % |
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4 | % BLOCKS(X1,X2,X3,X4) Tries to create a blocks-symmetric matrix |
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5 | % |
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6 | % Example: blocks(X1,X2,X3) creates [X1 X2;X' X3] |
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7 | % blocks(X1,X2,X3,X4,X5,X6) creates [X1 X2 X3;X2' X4 X5;X3' X5' X6] |
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8 | % |
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9 | |
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10 | % Author Johan Löfberg |
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11 | % $Id: blocks.m,v 1.3 2005/02/10 16:43:32 johanl Exp $ |
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12 | |
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13 | if rem(nargin,3)~=0 |
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14 | error('The number of blocks in a block-symmetric matrix has to be a multiple of 3') |
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15 | end |
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16 | |
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17 | m = nargin; |
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18 | n = max(roots([1 1 -2*m])); |
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19 | |
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20 | k = 1; |
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21 | Z = zeros(n); |
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22 | for i = 1:n |
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23 | for j = i:n |
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24 | Z(i,j)=k;k = k+1; |
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25 | end |
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26 | end |
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27 | Z = (Z+Z')-diag(diag(Z)); |
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28 | |
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29 | sys = []; |
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30 | for i = 1:n |
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31 | sysrow = []; |
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32 | for j = 1:1:n |
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33 | if j<i |
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34 | sysrow = [sysrow varargin{Z(i,j)}]; |
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35 | else |
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36 | sysrow = [sysrow varargin{Z(i,j)}']; |
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37 | end |
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38 | end |
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39 | sys = [sys;sysrow]; |
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40 | end |
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