Work

Exact Solutions to Multiple-Delayed Linear Discrete Matrix Equations

Year: 2025

Type: article

Abstract: This work investigates a new category of linear non-homogeneous discrete-matrix equations that feature multiple delays and first-order differences, under the assumption of pairwise permutable coefficient matrices. We define a novel multi-delayed discrete-matrix-exponential function that extends previous concepts. Using this function and specific commutativity properties, we construct an explicit matrix solution. The study highlights the advantages of our approach by contrasting it with prior research and identifying new open questions. Finally, a numerical example illustrates the application and relevance of the derived solution.

Source: Symmetry

DOI: 10.3390/sym17101684

Authors: Ahmed M. Elshenhab, Ghada AlNemer, Xingtao Wang

Institutions: Mansoura University, Princess Nourah bint Abdulrahman University, Harbin Institute of Technology

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Princess Nourah Bint Abdulrahman University