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1 | function X=tril(X,r) |
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2 | %TRIL (overloaded) |
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3 | |
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4 | % Author Johan Löfberg |
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5 | % $Id: tril.m,v 1.7 2006/07/26 20:17:58 joloef Exp $ |
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6 | |
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7 | |
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8 | if nargin==1 |
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9 | r = 0; |
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10 | end |
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11 | |
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12 | n = X.dim(1); |
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13 | m = X.dim(2); |
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14 | |
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15 | ind = reshape(1:n*m,n,m); |
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16 | ind = tril(ind,r); |
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17 | ind = find(ind==0); |
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18 | |
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19 | [i,j,k] = find(X.basis); |
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20 | zero_these = find(ismember(i,ind)); |
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21 | i(zero_these)=[]; |
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22 | j(zero_these)=[]; |
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23 | k(zero_these)=[]; |
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24 | X.basis = sparse(i,j,k,size(X.basis,1),size(X.basis,2)); |
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25 | X.conicinfo = [0 0]; |
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26 | X = clean(X); |
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27 | return |
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28 | |
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29 | trilX = tril(reshape(X.basis(:,1),n,m),r); |
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30 | Y.basis = trilX(:); |
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31 | |
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32 | j = 1; |
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33 | for i = 1:length(x_lmi_variables) |
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34 | trilX = tril(reshape(X.basis(:,i+1),n,m),r); |
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35 | if (norm(trilX,inf)>0) |
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36 | Y.basis(:,j+1) = trilX(:); |
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37 | lmi_variables = [lmi_variables x_lmi_variables(i)]; |
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38 | j = j+1; |
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39 | end |
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40 | end |
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41 | Y.dim(1) = size(trilX,1); |
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42 | Y.dim(2) = size(trilX,2); |
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43 | Y.lmi_variables = lmi_variables; |
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44 | % Reset info about conic terms |
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45 | Y.conicinfo = [0 0]; |
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46 | Y = clean(Y); |
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