The $$\gamma $$ -diagonally dominant degree of Schur complements and its applications

IF 2.6 3区数学 Computational and Applied Mathematics Pub Date : 2024-07-24 DOI:10.1007/s40314-024-02868-3

Zhenhua Lyu, Lixin Zhou, Junye Ma

引用次数: 0

Abstract

In this paper, we obtain a new estimate for the (product) $\gamma $-diagonally dominant degree of the Schur complement of matrices. As applications we discuss the localization of eigenvalues of the Schur complement and present several upper and lower bounds for the determinant of strictly $\gamma $-diagonally dominant matrices, which generalizes the corresponding results of Liu and Zhang (SIAM J. Matrix Anal. Appl. 27 (2005) 665-674).

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舒尔互补的对角主导度及其应用

在本文中，我们对矩阵舒尔补集的（乘积）（$\gamma $-对角主导度）进行了新的估计。作为应用，我们讨论了舒尔补集特征值的定位，并给出了严格（\gamma \）对角主导矩阵行列式的几个上界和下界，这概括了刘和章（SIAM J. Matrix Anal.27 (2005) 665-674).

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

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.