无约束优化问题测试函数

1、无约束优化问题测试函数【1 】Extended Freudenstein & Roth Functionn22f X = " I- -13 x2 i 丄亠 l.l.5 - x2 i x2 i - 2 x2i'- 29 x2i _亠 llx2ii -X2i J1 x2i -14 x2i 2 I初始点 X。=(0.5,_2,0.5,_2,., 0.5,_2)T , x* = (5,4, ,5,4，5,4,f opt =0【2 】Exte nded Trigo no metric Fun cti onn 了nif (x )=瓦 | n 一送 cos x jr1+ i(1 c

2、os xi )_sin xi k 丿初始点 x 0 =(,，一),fopt =0n n n【3】Extended Rosenbrock Functionf x =、100 X2ix：ii 土2丄！亠I.1 - x2i初始点 x0 =(-1.2,1,., -1 .2,1)T , x=1,1，J ， fopt=0【4】Extended White & Holst Function初始点 X。二(1.2,1,., -1 .2,1)T= (1,1，,1 j , fopt【5】Extended Beale Functionn.2 一f x 二' 1.5 X22 1 x2i2)2.252)

3、亠2.625 x2i1 xfopt初始点 x0 =(1,0.8,., 1,0.8)丁 ,【6 】Extended Penalty Functionn -X< n2f(X )=迟(Xi 1 ) +Z x2 -0.25i zt2Jn)T , fopt =初始点 x0 =(1,2,.,【7】Perturbed Quadratic Functionn2f X 八 iXii丄1 +1002初始点 x°=(0.5,0.5,.,0.5)T , x* = (O,O,，0$ , f°pt=O【8】Raydan 1 Functionn .f X八” eXpn 初始点 X0 = (1,1,

4、., 1), x = 0,0,，0 i , fopt =、'、10【9】Raydan 2 Functionnf X 八 exp Xi -Xi .初始点 X。=(1,1,., 1)T , x" = (0,0,-,0T , fopt =n【10 】Generalized Tridiagonal-1 Functionn丄 f x - 7 i Xi 1 3 i XiXi 1 T 4 丨i 土初始点 X0 =(2,2,., 2) T , fopt =【11】Extended Tridiagonal-1 Functionn / 2 f X 八 X2i 丄-X2i 3 2 - X2i A

5、-X2i4 1i住初始点 X。=(2,2,., 2)T ,=(1,2,1,2，1,2 T , f°pt=°【12 】Extended Powell Functionn / 42 2f X !(x4i 丄 10x4i_2)5(X4i_1 -X4i)(X4i_2 -2X4i_i =1n 422或fX!-X4i-310 X4i-25X4i_ X4： X4i _ 2X4i_1i z±24厲)T0(X4匸- X4i) J410 X4i- X4i 4 J初始点 x。=(3,1,0,1,., 3,1,0,1)$ , x*=(0,0,，0,fopt =0【13 】Wood Fun

6、ctionn 42f X = '100 X4i _2 - X4i & !亠门-X4i _390 x4i- x4i 12 2 110 X4 i _2 ' X 4i 2 " 0.1 X4 i_ X4 i I .初始点【14】初始点【15】初始点【16】初始点【17】初始点【18】初始点Xo = ( _3, _1, _3, _1,., 一3, _1, _3, 1)T , x " = 1,1,. ,1Extended Wood Functionf x =100 X2 卫X4i »i 亠X4i & -1+ 10.1&4匸1 )+(X4

7、i -1X。=(_3,一1,_3,_1，3,_1,_3,_1)TExte nded Quadratic Pen alty QP1 Fu nction，f optX。= (0.5,_2,0.5,-2,., 0.5,_2)TExte nded Dix on Functionn /102f X 八(1 -Xg*)i仝10i _92 290 X4i J -X4ij +19.8(X4i/ 1,x = 1,1，J _0.5；1f opt(1 Xgi)10 i _A工(X2j 0i -9x0 =(-2,-2,., -2)丁 , x 二 1,1，1,Extended Miele & Cantrell Functionf x 八exp X4i-X4匸 i 亠 100 X42X。(1,2,2,2,1,2,2,2,., 1,2,2,2)T , xThe Broyde n Tridiago nal FunctionfoptfoptX4i一