请教如何用Matlab求解一个约束优化问题

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min f(x1,x2,x3)=x1^2+x2^2+x3^2+x1*x2+x1*x3+x2*x3
s.t.: x1+x2+x3=1 , x1>=0,x2>=0,x3>=0
请问各位，此约束问题如何用Matlab编程实现，谢谢帮助!

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关键词：MATLAB atlab matla Mat Lab 请教 MATLAB 求解

1. >> f=@(x1,x2,x3)x1.^2+x2.^2+x3.^2+x1.*x2+x1.*x3+x2.*x3;
   
2. >> Aeq =[1,1,1];beq = 1;
   
3. >> x = fmincon(@(x)f(x(1),x(2),x(3)),[0.4,0.3,0.3],[],[],Aeq,beq,[0 0 0 ],[])
   
4. Warning: Trust-region-reflective algorithm does not solve this type of problem, using active-set
   
5. algorithm. You could also try the interior-point or sqp algorithms: set the Algorithm option to
   
6. 'interior-point' or 'sqp' and rerun. For more help, see Choosing the Algorithm in the documentation.
   
7. > In fmincon at 472
   
8. 
   
9. Local minimum found that satisfies the constraints.
   
10. 
    
11. Optimization completed because the objective function is non-decreasing in
    
12. feasible directions, to within the default value of the function tolerance,
    
13. and constraints were satisfied to within the default value of the constraint tolerance.
    
14. 
    
15. <stopping criteria details>
    
16. 
    
17. No active inequalities.
    
18. 
    
19. x =
    
20. 
    
21.     0.3333    0.3333    0.3333

复制代码

2# qibbxxt
谢谢！

请问楼主这个问题如何解决的啊？我也遇到类似的问题