S. Mennou ; A. Chillali ; A. Kacha - Matrix continued fractions and Expansions of the Error Function

cm:10395 - Communications in Mathematics, December 27, 2022, Volume 31 (2023), Issue 1 - https://doi.org/10.46298/cm.10395
Matrix continued fractions and Expansions of the Error FunctionArticle

Authors: S. Mennou ; A. Chillali ORCID; A. Kacha

    In this paper we recall some results and some criteria on the convergence of matrix continued fractions. The aim of this paper is to give some properties and results of continued fractions with matrix arguments. Then we give continued fraction expansions of the error function erf(A) where A is a matrix. At the end, some numerical examples illustrating the theoretical results are discussed.

    https://doi.org/10.46298/cm.10395
    Source: arXiv.org:2211.16453
    Volume: Volume 31 (2023), Issue 1
    Published on: December 27, 2022
    Accepted on: November 30, 2022
    Submitted on: November 30, 2022
    Keywords: Mathematics - Number Theory
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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