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olguvirubin / remez-tang-algorithm

an implementation of the extended remez algorithm due to Peter Tang which computes Chebyshev polynomials corresponding to complex domains
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Multi-interval support #1

Open ramym1 opened 1 year ago

ramym1 commented 1 year ago

Hi, I wanted to ask if you are aware of a version of the multi-interval remez algorithm that works on complex values. That is, an algorithm that can approximate a function in the complex domain which is not necessarily analytic, but it is analytic on multiple subsets of the complex plane. Thanks in advance!

olguvirubin commented 1 year ago

Hey, In theory this algorithm also works on any discrete set, however this specifik implementation requires that it be a parametrised Jordan domain. Also there is no requirement of analyticity however it is used here for the maximum principle to hold. Do you have any specifik problem in mind?