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If you like Padé approximants, have you been following Trefethen & al.’s recent work on the "AAA" algorithm etc.? https://arxiv.org/pdf/1612.00337.pdf https://arxiv.org/pdf/1705.10132.pdf

See also the lecture https://www.youtube.com/watch?v=S1upJPMIFfg

No, I haven't -- thank you very much for sharing. I've only ever used them, e.g. for spectral decomposition in magnetic resonance in a medical setting (1) with the fast Padé transformation, which has a wonderfully deep relationship with the DEs describing magnetic resonance (2).

Thanks also for the lecture - I'll enjoy. Nick Trefethen is such a good speaker. He taught me in a graduate course in numerical methods -- honestly, I'd watch those lectures on a loop again.

(1) https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5179227/

(2) https://iopscience.iop.org/article/10.1088/0031-9155/51/5/00...

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