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[37] | 1 | function X=triu(X,r) |
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| 2 | %TRIU (overloaded) |
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| 3 | |
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| 4 | % Author Johan Löfberg |
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| 5 | % $Id: triu.m,v 1.1 2006/08/10 18:00:23 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 = triu(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 | if nargin==1 |
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| 30 | r = 0; |
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| 31 | end |
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| 32 | |
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| 33 | Y = X; |
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| 34 | x_lmi_variables = X.lmi_variables; |
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| 35 | lmi_variables = []; |
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| 36 | n = X.dim(1); |
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| 37 | m = X.dim(2); |
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| 38 | triuX = triu(reshape(X.basis(:,1),n,m),r); |
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| 39 | Y.basis = triuX(:); |
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| 40 | |
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| 41 | j = 1; |
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| 42 | for i = 1:length(x_lmi_variables) |
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| 43 | triuX = triu(reshape(X.basis(:,i+1),n,m),r); |
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| 44 | if (norm(triuX,inf)>0) |
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| 45 | Y.basis(:,j+1) = triuX(:); |
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| 46 | lmi_variables = [lmi_variables x_lmi_variables(i)]; |
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| 47 | j = j+1; |
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| 48 | end |
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| 49 | end |
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| 50 | Y.dim(1) = size(triuX,1); |
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| 51 | Y.dim(2) = size(triuX,2); |
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| 52 | Y.lmi_variables = lmi_variables; |
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| 53 | % Reset info about conic terms |
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| 54 | Y.conicinfo = [0 0]; |
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| 55 | Y = clean(Y); |
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