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1 | function X=sos(X,r) |
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2 | %SOS Declare sum-of-squares structure |
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3 | % |
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4 | % F = set(sos(p),r) |
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5 | % |
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6 | % Input |
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7 | % p : SDPVAR object |
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8 | % r : Desired rank (optional) |
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9 | % Output |
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10 | % F : SET object |
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11 | % |
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12 | % Example: |
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13 | % Typical usage is |
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14 | % |
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15 | % F = set(sos(p)) |
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16 | % |
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17 | % An experimental feature is to search for |
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18 | % low rank decompositions. To search for a |
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19 | % decomposition using at most 3 terms, use |
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20 | % a second argument |
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21 | % |
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22 | % F = set(sos(p,3)) |
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23 | % |
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24 | % Note that his feature requires the solver LMIRANK. |
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25 | % |
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26 | % See also SOSEX |
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27 | |
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28 | % Author Johan Löfberg |
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29 | % $Id: sos.m,v 1.1 2006/08/10 18:00:22 joloef Exp $ |
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30 | |
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31 | if ~issymmetric(X)% X.n>1 | X.m>1 |
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32 | error('SOS can only be applied to symmetric polynomial matrices'); |
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33 | end |
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34 | if nargin<2 |
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35 | r = inf; |
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36 | end |
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37 | X.typeflag = 11; |
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38 | X.extra.sosid = yalmip('sosid'); |
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39 | X.extra.rank = r; |
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