Nekrasov矩阵的对角-舒尔补

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2023-10-24 DOI:10.13001/ela.2023.7941

Shiyun Wang, Qi Li, Xu Sun, Zhenhua Lyu

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引用次数: 0

摘要

舒尔补和对角-舒尔补是许多领域的重要工具。Cvetkovic和Nedovic [Appl]揭示了Nekrasov矩阵关于指标集$\{1\}$的对角-舒尔补是Nekrasov矩阵。数学。第一版。[j].农业工程学报，2008(8):2104 - 2103。本文证明了Nekrasov矩阵对任何指标集的对角-舒尔补都是Nekrasov矩阵。类似的结果也适用于$\Sigma$-Nekrasov矩阵。我们也给出了关于Nekrasov对角占优度的一些结果。通过数值算例验证了所得结果的正确性。

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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Diagonal-Schur complements of Nekrasov matrices

The Schur and diagonal-Schur complements are important tools in many fields. It was revealed that the diagonal-Schur complements of Nekrasov matrices with respect to the index set $\{1\}$ are Nekrasov matrices by Cvetkovic and Nedovic [Appl. Math. Comput., 208:225-230, 2009]. In this paper, we prove that the diagonal-Schur complements of Nekrasov matrices with respect to any index set are Nekrasov matrices. Similar results hold for $\Sigma$-Nekrasov matrices. We also present some results on Nekrasov diagonally dominant degrees. Numerical examples are given to verify the correctness of the results.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.