论文标题

矩阵继续分数和误差函数的扩展

Matrix continued fractions and Expansions of the Error Function

论文作者

Mennou, S., Chillali, A., Kacha, A.

论文摘要

在本文中,我们回想起一些结果和一些矩阵收敛性的标准。本文的目的是提供一些具有矩阵参数的持续分数的属性和结果。然后,我们给出错误函数erf(a)的持续分数扩展,其中a是矩阵。最后,讨论了一些说明理论结果的数值示例。

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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