1 | function ex14_1_6 |
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2 | |
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3 | sdpvar x1 x2 x3 x4 x5 x6 x7 x8 x9 objvar; |
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4 | |
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5 | F = set([]); |
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6 | |
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7 | F = F + set( - x9 + objvar == 0); |
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8 | |
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9 | F = F + set(0.004731*x1*x3 - 0.1238*x1 - 0.3578*x2*x3 - 0.001637*x2 - 0.9338*x4 + x7 - x9 <= 0.3571); |
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10 | |
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11 | F = F + set( 0.1238*x1 - 0.004731*x1*x3 + 0.3578*x2*x3 + 0.001637*x2 + 0.9338*x4 - x7 - x9 <= -0.3571); |
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12 | |
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13 | F = F + set( 0.2238*x1*x3 + 0.2638*x1 + 0.7623*x2*x3 - 0.07745*x2 - 0.6734*x4 - x7 - x9 <= 0.60220); |
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14 | |
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15 | F = F + set( (-0.2238*x1*x3) - 0.2638*x1 - 0.7623*x2*x3 + 0.07745*x2 + 0.6734*x4 + x7 - x9 <= -0.6022); |
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16 | |
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17 | F = F + set( x6*x8 + 0.3578*x1 + 0.004731*x2 - x9 <= 0); |
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18 | |
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19 | F = F + set( - x6*x8 - 0.3578*x1 - 0.004731*x2 - x9 <= 0); |
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20 | |
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21 | F = F + set( - 0.7623*x1 + 0.2238*x2 == -0.3461); |
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22 | |
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23 | F = F + set( sqr(x1) + sqr(x2) - x9 <= 1); |
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24 | |
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25 | F = F + set( (-sqr(x1)) - sqr(x2) - x9 <= -1); |
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26 | |
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27 | F = F + set( sqr(x3) + sqr(x4) - x9 <= 1); |
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28 | |
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29 | F = F + set( (-sqr(x3)) - sqr(x4) - x9 <= -1); |
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30 | |
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31 | F = F + set( sqr(x5) + sqr(x6) - x9 <= 1); |
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32 | |
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33 | F = F + set( (-sqr(x5)) - sqr(x6) - x9 <= -1); |
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34 | |
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35 | F = F + set( sqr(x7) + sqr(x8) - x9 <= 1); |
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36 | |
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37 | F = F + set( (-sqr(x7)) - sqr(x8) - x9 <= -1); |
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38 | |
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39 | |
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40 | |
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41 | F = F + set( -1 < [x1 x2 x3 x4 x5 x6 x7 x8] < 1); |
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42 | |
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43 | sol = solvesdp(F,objvar,sdpsettings('solver','bmibnb','bmibnb.upper','fmincon')) |
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44 | mbg_asserttolequal(sol.problem,0); |
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45 | mbg_asserttolequal(double([objvar ]),0, 1e-5); |
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46 | |
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47 | function y = sqr(x) |
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48 | y = x*x; |
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