Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields

IF 1.5 2区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Matrix Analysis and Applications Pub Date : 2023-12-05 DOI:10.1137/22m1504068

Marija Dodig, Marko Stošić

引用次数: 2

Abstract

SIAM Journal on Matrix Analysis and Applications, Volume 44, Issue 4, Page 1879-1907, December 2023.
Abstract. We solve the open problem of describing the possible Kronecker invariants of quasi-regular matrix pencils under bounded rank perturbations. By a quasi-regular matrix pencil we mean the full (normal) rank matrix pencil. The solution is explicit and constructive, and it is valid over arbitrary fields.

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任意域上拟正则铅笔的有界秩摄动

SIAM矩阵分析与应用杂志，第44卷，第4期，1879-1907页，2023年12月。摘要。我们解决了在有界秩扰动下拟正则矩阵铅笔可能的Kronecker不变量的描述问题。我们所说的拟正则矩阵铅笔是指满(正规)秩矩阵铅笔。该解具有显式和构造性，在任意域上都有效。

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

SIAM Journal on Matrix Analysis and Applications 数学-应用数学

CiteScore

2.90

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The SIAM Journal on Matrix Analysis and Applications contains research articles in matrix analysis and its applications and papers of interest to the numerical linear algebra community. Applications include such areas as signal processing, systems and control theory, statistics, Markov chains, and mathematical biology. Also contains papers that are of a theoretical nature but have a possible impact on applications.