baryrat

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Hi,

I have attempted to approximate a univariate complex function with a complex argument using BRASIL. However, it appears that the BRASIL method does not support this type of approximation. Can you provide guidance on the implementation of this functionality? If so, I would be really happy to help and attempt to contribute a little something back to this nice project.

Hello,

Are you talking about a complex-valued function defined over a real interval? I believe this should be possible, though I'm not sure if all the details are implemented.

Best approximation over a complex domain, on the other hand, is not possible with BRASIL. Best approximation over complex domains is harder than over intervals.

Maybe you could give your example.

Hello,

Thanks a lot for answering.

The goal is to speedup the evaluation of the molecular incomplete gamma function with a complex argument.

What do you think?

If there is a complex argument, it's not possible to use BRASIL since it only works over intervals.

You could however use the AAA algorithm, which is also contained in the baryrat package.

@c-f-h, thanks a lot for your swift response.