实数矩阵实数特征值的一个新的包含区间

IF 0.4 4区数学 Q4 MATHEMATICS

Czechoslovak Mathematical Journal Pub Date : 2023-03-13 DOI:10.21136/CMJ.2023.0420-22

Yinghua Wang, Xinnian Song, Lei Gao

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引用次数: 0

摘要

根据Cvetković-Kostić-Varga型（或简称CKV型）B矩阵的性质，提出了一类新的非奇异矩阵，称为CKV型B \documentclass[12pt]｛minimal｝\usepackage｛amsmath｝\use package｛wasysym｝\ usepackage｛amsfonts｝\usepackage｛assymb｝\usecpackage｛amsbsy｝\usepackage{mathrsfs｝\ userpackage｛upgeek｝\setlength｛-odsidemargin｝｛-69pt｝\beggin｛document｝$\overline｛B｝$\end{document}-matrices给出了实矩阵实特征值的一个新的包含区间。研究表明，新的包含区间比J.M.Peña（2003）和H.B.Li等人（2007）提供的包含区间更尖锐。我们还提出了一种计算新包含区间的直接算法。数值算例说明了所得结果的有效性。

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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A new inclusion interval for the real eigenvalues of real matrices

By properties of Cvetković-Kostić-Varga-type (or, for short, CKV-type) B-matrices, a new class of nonsingular matrices called CKV-type B¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{B}$$\end{document}-matrices is given, and a new inclusion interval of the real eigenvalues of real matrices is presented. It is shown that the new inclusion interval is sharper than those provided by J. M. Peña (2003), and by H. B. Li et al. (2007). We also propose a direct algorithm for computing the new inclusion interval. Numerical examples are included to illustrate the effectiveness of the obtained results.

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