[37] | 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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