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How to optimize k*x <= epsilon?

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hello_world
hello_world on 12 Aug 2016
Edited: Torsten on 12 Aug 2016
Hello Friends,
I want to optimize, i.e., find the optimal value of k in the following problem:
max k*x <= epsilon
How to find the maximum value of k for a given matrix x and some epsilon, say, 0.1?
I will appreciate any advise!

Accepted Answer

Torsten
Torsten on 12 Aug 2016
Edited: Torsten on 12 Aug 2016
Please state your problem more clearly.
k is a scalar and epsilon is a matrix with all elements equal to Epsilon, and you want to determine the maximum value of k such that k*x <= epsilon holds elementwise ?
In this case, the optimum k_opt is given by
k_opt = epsilon/max(x(:))
Best wishes
Torsten.

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