Weighted Moore-Penrose inverses for dual matrices and its applications

被引：2

作者：

Ma, Haifeng ^{[1
]}

Wang, Wen ^{[1
]}

Stanimirovic, Predrag S. ^{[2
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[2] Univ Nis, Fac Sci Math, Nish, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 489卷

基金：

中国国家自然科学基金;

关键词：

Dual matrix; Weighted compact dual singular value; decomposition; Weighted Moore-Penrose inverse; Standing wave; Traveling wave; DECOMPOSITION; TRANSFORMATION; PERTURBATION; LANGUAGE;

D O I：

10.1016/j.amc.2024.129145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

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