优化设计复习题

优化设计复习题一、单项选择题．。XX．(k)(kS(k)。f(X)]S0f(X)]S0kTkA.(k)(k)()()Tf(X)]S0f(X)]S0(k)(k)T(k)T(k)f(X)．n的。12．。31。法法．f(X)tg(X)0umu0。ukf(X)g(X)0**,k;uuu1kf(X)g(X)0**,k;uuu1mmf(X)g(X)f(X)g(X)*;**;*uuuuu1u11*。Xf(X)在f(X)0H(X*)f(X)0H(X)**且*且f(X)0H(X*)f(X)0H(X)**且*且x,xxxxxx,x]（[13132413xx2f(X)f(X)。244[]x,x1x,xx,xx,x][][][42312432S共。t121sst2st2st2t2。(k)(k)(kS(k)XX(k(k)XSXXXkk(kXS(k)k()(k)X(k()kSkka,b为。11abab==1111aba1b===111用法对二维二次正定函数，使用即可达到极小点。ab、11f,f1ff，在下次搜索区间中，应作如下符号置换记为。已知。221aaaabbbb111ba1ababba11111111ffffffff21122112f(X)g(X)0u。2m(X,M)f(X)Mk(){max[g(X2k()uu1km(X,M)f(X)M{min[g(X2k()()uu11(X,(X,)()fXm()()kkg(X)u1u1)()fXm()kk()g(X)u1u。p应。.pn.pn.pn.pnXX(k)(kS(k)。(k)(k)(k)(k)TTf(X)S0f(X)S0(k)(k)TTf(X(k))S(k)0f(X)S0f(X)n的。21。34。法法minf(X)g(X)0u3。ukf(X)g(X)0**kuuu1kf(X)g(X)0**kuuu1mmf(X)g(X)f(X)g(X)*;**;*uuuuu1u1*。Xf(X)在f(X)0H(X*)f(X)0H(X)**且*且f(X)0H(X*)f(X)0H(X*)*且*且[x,x]xxxx（131324x,xxx2f(X)f(X)[。24134x,x1x,xx,x1x,x[][][][]4232433ST111sssT2sT2TT22。(k)(k)(kS(k)XX(k(k)XSXXkk(kXS(k)k()(k)X(k()kXSkka,b5为。11abab=αδ=1111abab===1111-5。ab114f,f1ff，在下次搜索区间中，应作如下符号置换记为。已知。212aaaabbbb111ba1ababba.11111111ffffffff21122112f(X)g(X)0u。m(X,M)f(X)M{max[g(X2()()kkuu1m(X,M)f(X)M{min[g(X2k()k()uu1m(X,M)f(X)M{max[g(X2k()()kuu1m(X,M)f(X)M{min[g(X2(k)k()uu1。f(X)xxx2xX(0)T21在点4212f(X)xxxxX[22在(0)T点1212f(X)xxxx9xXT31322122五、将函数在(0)1XT*Tf(X)4xx212g(X)xx021221g(X)xxxx02122212g(X)(x(x022312g(X)x041g(X)x0525f(X)xxxxx4xH(X)21221212*[XTTf(X)(x(x2212g(X)xx5021221g(X)x2x40212g(X)x031g(X)x042f(X)x,1]xf()x2x2[,]minf(X)xxxxx4x6021221212(0)。Xtminf(X)xxxX[2122(0)T1准则，且收敛精度。mif(X)(xx2221g(X)xx402112g(X)x022g(X)x0316f(X)xx12t:g(X)xx6112g(X)x2x8212g(X)x031g(X)x042f(X)xx2122g(X)1x01(X,M)(k)0X[(X,M)(0)M