Theoretical error estimates for computing the matrix logarithm by Padé-type approximants

IF 0.9 4区 数学 Q2 MATHEMATICS
Lidia Aceto, Fabio Durastante
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引用次数: 0

Abstract

In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss–Legendre quadrature rules. These formulas can be interpreted as Padé approximants of a s...
用帕代近似法计算矩阵对数的理论误差估计
在本文中,我们将重点讨论使用高斯-列根得二次方程规则计算矩阵对数时所产生的误差。这些公式可以解释为一个 s 的 Padé 近似值。
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
CiteScore
2.70
自引率
18.20%
发文量
175
审稿时长
4-8 weeks
期刊介绍: Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.
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