矩形有理矩阵函数的费德勒线性化

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-12 DOI:10.1007/s41980-023-00843-y

Namita Behera, Avisek Bist, Volker Mehrmann

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引用次数: 0

摘要

线性化是计算矩阵多项式和有理矩阵值函数的特征值、特征向量和不变子空间的标准方法。线性化的一个重要来源是所谓的费德勒线性化，它是经典伴形的广义化。本文将费德勒线性化概念从正方形规则函数扩展到矩形有理矩阵值函数。该方法适用于数学系统理论中出现的罗森布洛克函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Fiedler Linearizations of Rectangular Rational Matrix Functions

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Fiedler Linearizations of Rectangular Rational Matrix Functions

Linearization is a standard approach in the computation of eigenvalues, eigenvectors and invariant subspaces of matrix polynomials and rational matrix valued functions. An important source of linearizations are the so called Fiedler linearizations, which are generalizations of the classical companion forms. In this paper the concept of Fiedler linearization is extended from square regular to rectangular rational matrix valued functions. The approach is applied to Rosenbrock functions arising in mathematical system theory.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.