How to solve (code) the following optimization problem into matlab optimization toolbox?

2014 6 2
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更新时间：2014 6 3
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I'm very novice in optimization and have a convex optimization shown in the attached photo. Could someone help me in coding this optimization problem into matlab and solve it using the optimization toolbox?

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Alan Weiss
Alan Weiss 2014-6-2

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Perhaps you could help yourself by looking at an introductory example of constrained optimization. Then look at the documentation on writing objective functions and constraints, if the example isn't detailed enough.
Alan Weiss
MATLAB mathematical toolbox documentation

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Hessam
Hessam 2014-6-2
Could you tell me which solver is the best to be used for this optimization? Besides, I don't have an initial matrix (point), X0, to start from. What should I do?
Alan Weiss
Alan Weiss 2014-6-3
To choose an appropriate solver, consult the Optimization Decision Table.
Initial points are tough. Perhaps you could take a random point within your bounds:
x0 = lb + rand(size(lb)).*(ub - lb);
Good luck,
Alan Weiss
MATLAB mathematical toolbox documentation

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Hessam
Hessam
2014-6-2

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Alan Weiss
Alan Weiss
2014-6-3

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