机械优化设计课后程序考核题

机械优化设计程序考核题

1、一维搜索方法程序考核题

()3610min 2+-=t t t f

最优解：()0.11,0.5*

*==t f t to =

fo =

11

2、无约束优化方法程序考核题

()()()2

221654min -+-=x x x f 初始点：()45,]9,8[00==x

f x T 最优解：()0,]6,5[**==x f x T

运行结果：

Warning: Gradient must be provided for trust-region method;

using line-search method instead.

> In fminunc at 241

Optimization terminated: relative infinity-norm of gradient less than .

Computing finite-difference Hessian using user-supplied objective function.

x =

fval =

exitflag =

1

output =

iterations: 7

funcCount: 24

stepsize: 1

firstorderopt:

algorithm: 'medium-scale: Quasi-Newton line search'

message: 'Optimization terminated: relative infinity-norm of gradient less than .'

grad =

*

hessian =

3、约束优化方法的程序考核题

()()()2

22112min -+-=x x x f . ()()0

20

2122211≤-+=≤-=x x x g x x x g 初始点：()5,]3,3[00==x

f x T 最优解：()1,]1,1[**==x f x T

运行结果 ：

Warning: Large-scale (trust region) method does not currently solve this type of problem,

switching to medium-scale (line search).

> In fmincon at 260

c =

6

c =

c =

c =

c =

c =

c =

c =

c =

Optimization terminated: first-order optimality measure less than and maximum constraint violation is less than .

Active inequalities (to within = 1e-006):

lower upper ineqlin ineqnonlin

1 1

x =

fval =

exitflag =

1

output =

iterations: 2

funcCount: 11

stepsize: 1

algorithm: 'medium-scale: SQP, Quasi-Newton, line-search' firstorderopt:

cgiterations: []

message: [1x143 char]

lambda =

lower: [2x1 double]

upper: [2x1 double]

eqlin: [0x1 double]

eqnonlin: [0x1 double]

ineqlin:

ineqnonlin:

grad =

hessian =