S -稀疏Ostrowski - Brauer矩阵逆的基于Schur互补的无穷范数界

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231317

Dizhen Ao, Yan Liu, Feng Wang, Lanlan Liu

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引用次数: 0

摘要

本文研究了$ S $-SOB矩阵的Schur补问题，并证明了$ S $-Sparse Ostrowski-Brauer ($ S $-SOB)矩阵的Schur补在一定条件下仍然属于同一类。基于$ S $-SOB矩阵的Schur补，得到了$ S $-SOB矩阵无穷范数的上界。数值算例验证了所得结果的有效性。利用无穷范数界，给出了$ S $-SOB矩阵线性互补问题的误差界。</ </abstract>

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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Schur complement-based infinity norm bounds for the inverse of $ S $-Sparse Ostrowski Brauer matrices

In this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the infinite norm of $ S $-SOB matrices is obtained. Numerical examples are given to certify the validity of the obtained results. By using the infinity norm bound, an error bound is given for the linear complementarity problems of $ S $-SOB matrices.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.