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1 | function sys = unblkdiag(F) |
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2 | % UNBLOCKDIAG Extracts diagonal blocks |
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3 | % |
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4 | % G = unblkdiag(F) Detects and converts block diagonal SDP. |
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5 | % |
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6 | % See also DISSECT |
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7 | |
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8 | % Author Johan Löfberg |
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9 | % $Id: unblkdiag.m,v 1.4 2006/01/17 15:49:08 joloef Exp $ |
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10 | |
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11 | switch class(F) |
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12 | case 'lmi' |
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13 | sys = set([]); |
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14 | for i = 1:length(F) |
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15 | if is(F(i),'sdp') % SDP |
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16 | Z = sdpvar(F(i)); |
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17 | X = spy(Z); |
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18 | [v,dummy,r,dummy2]=dmperm(X); |
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19 | if v==dummy & length(r)>2 |
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20 | linearblocks = []; % Simple diagonal terms; |
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21 | for blocks = 1:length(r)-1 |
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22 | r1 = r(blocks); |
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23 | r2 = r(blocks+1)-1; |
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24 | if r2>r1 |
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25 | sys = sys + set(Z(v(r1:r2),v(r1:r2))); |
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26 | else |
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27 | linearblocks = [linearblocks v(r1)]; |
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28 | end |
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29 | end |
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30 | if ~isempty(linearblocks) |
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31 | D=diag(Z); |
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32 | sys = sys+set(D(linearblocks)); |
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33 | end |
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34 | else |
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35 | sys = sys + F(i); |
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36 | end |
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37 | else |
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38 | sys = sys + F(i); |
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39 | end |
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40 | end |
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41 | case 'sdpvar' |
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42 | sys = {}; |
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43 | Z = F; |
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44 | X = spy(Z); |
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45 | [v,dummy,r,dummy2]=dmperm(X); |
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46 | if v==dummy & length(r)>2 |
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47 | for blocks = 1:length(r)-1 |
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48 | r1 = r(blocks); |
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49 | r2 = r(blocks+1)-1; |
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50 | sys{end+1} = Z(v(r1:r2),v(r1:r2)); |
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51 | end |
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52 | else |
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53 | sys{1} = Z; |
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54 | end |
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55 | otherwise |
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56 | error('Heh') |
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57 | end |
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