How to formalize an optimization problem in Matlab?

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Hello.
How to issue a task in Matlab?
Given:
Vectors a1 and a2.
Find a vector of coefficients x such that:
abs((a2.')*x) -> min
abs ((a1.')*x) >= condition
under the conditions:
- Dimensions of vectors a1, a2 and x from 1 to p
- elements a1, a2 and x are complex numbers
- abs(a1_i)>0, abs(a2_i)>0, abs(x_i) = 1, where i =1..p
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Answers (1)

Matt J
Matt J on 4 May 2022
Edited: Matt J on 4 May 2022
N=null(a2.');
a3=a1.'*N;
[~,idx]=max(abs(a3));
x=N(:,idx);
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