On the recursive and explicit form of the general J.C.P. Miller formula with applications

DOI10.1016/j.aam.2024.102688arXiv2306.15750OpenAlexW4392727311MaRDI QIDQ6199301

Xiao-Xiong Gan, Piotr Maćkowiak, Dariusz Bugajewski, Dawid Bugajewski

Publication date: 21 March 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.15750

zbMATH Keywords

determinantsinitial value problemapproximate solutioninversesformal power seriesinfinite matricesrecurrence algorithmHessenberg matricescomposition of formal power seriesTrudi formulaseparable equationJ.C.P. Miller formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Determinants, permanents, traces, other special matrix functions (15A15) Convergence and divergence of series and sequences of functions (40A30) Formal power series rings (13F25) Power series rings (13J05) Toeplitz, Cauchy, and related matrices (15B05)

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