Weighted Moore-Penrose inverses for dual matrices and its applications

Haifeng Ma, Wen Wang and Predrag S. Stanimirović

Applied Mathematics and Computation, 2025, vol. 489, issue C

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.

Keywords: Dual matrix; Weighted compact dual singular value decomposition; Weighted Moore-Penrose inverse; Standing wave; Traveling wave (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:489:y:2025:i:c:s0096300324006064

DOI: 10.1016/j.amc.2024.129145

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