Matrix continued fractions and Expansions of the Error Function

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-11-29 DOI:10.46298/cm.10395

S. Mennou, A. Chillali, A. Kacha

引用次数: 1

Abstract

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.

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矩阵连分式和误差函数的展开式

本文回顾了关于矩阵连分式收敛性的一些结果和准则。本文的目的是给出带有矩阵自变量的连分式的一些性质和结果。然后给出误差函数erf（A）的连续分式展开式，其中A是一个矩阵。最后，通过算例对理论结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.