Weighted Moore-Penrose inverses for dual matrices and its applications

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-10-24 DOI:10.1016/j.amc.2024.129145

Haifeng Ma , Wen Wang , Predrag S. Stanimirović

引用次数: 0

Abstract

Characteristics of weighted Moore-Penrose inverses for dual matrices (W-MP-D inverse) are studied in this investigation. First, we introduce the weighted compact dual singular value decomposition (WCDSVD) on the set of dual matrices. A few equivalent conditions for the existence of the W-MP-D inverse on the set of dual matrices and several explicit representations are given using WCDSVD. Finally, the simulation of standing waves (s-waves) and traveling waves (t-waves) and the application of that simulation in the t-waves identification in the brain are given.

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对偶矩阵的加权摩尔-彭罗斯求逆及其应用

本文研究了对偶矩阵的加权摩尔-彭罗斯逆（W-MP-D 逆）的特征。首先，我们介绍了对偶矩阵集合上的加权紧凑对偶奇异值分解（WCDSVD）。利用 WCDSVD 给出了对偶矩阵集合上 W-MP-D 逆存在的几个等价条件和几个显式表示。最后，给出了驻波（s 波）和行波（t 波）的模拟以及该模拟在大脑 t 波识别中的应用。

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.