Banach代数中两个元素和的广义Drazin逆

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-04-21 DOI:10.1016/j.cam.2025.116701

Daochang Zhang , Yue Zhao , Dijana Mosić

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引用次数: 0

摘要

本文给出了在一定条件下关于两个Banach代数元和的广义Drazin逆的新的可加性结果，它可以推广和统一一些结果。然后，我们应用这些加性结果，导出了Banach代数中2 × 2矩阵abcd的广义Drazin逆的显式公式。最后，给出了几个数值算例来说明我们的结果。

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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The generalized Drazin inverse of the sum of two elements in a Banach algebra

In this paper, we present new additive results on the generalized Drazin inverse of a sum of two Banach algebra elements under certain conditions, which can generalize and unify some results. Then, we apply these additive results to derive explicit formulae for the generalized Drazin inverse of a 2 × 2 matrix

(\begin{matrix} a & b \\ c & d \end{matrix})

in a Banach algebra. Finally, several numerical examples are given to illustrate our results.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.