Solving compound linear optimization problem

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carlos g
carlos g 2019-3-29
回答： Torsten 2019-4-1
I would like to solve the following compound optimization problem in MATLAB:
min (Ax-a), min (Bx-b), min (Cx-c)
subject to Dx=d and x>=0, where a,b,c,d,A,B,C,D are given.
First of all, I don't know how to set up the above problem, should I write
min(Ax-a)^2+min(Bx-b)^2+min(Cx-c)^2, s.t. Dx=d and x>=0
Is this the best formulation of such problem? The second question is, should I use quadprog or are there other more suitable routines in MATLAB?

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回答（2 个）

Catalytic
Catalytic 2019-3-29
I've never heard of a compound optimization problem but maybe this will help
https://www.mathworks.com/discovery/multiobjective-optimization.html
Torsten
Torsten 2019-4-1
Look up
https://de.mathworks.com/discovery/multiobjective-optimization.html

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