{"title":"Matrix continued fractions and Expansions of the Error Function","authors":"S. Mennou, A. Chillali, A. Kacha","doi":"10.46298/cm.10395","DOIUrl":null,"url":null,"abstract":"In this paper we recall some results and some criteria on the convergence of\nmatrix continued fractions. The aim of this paper is to give some properties\nand results of continued fractions with matrix arguments. Then we give\ncontinued fraction expansions of the error function erf(A) where A is a matrix.\nAt the end, some numerical examples illustrating the theoretical results are\ndiscussed.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.10395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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.
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.
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