The General Solution of a System of Dual Quaternion Matrix Equations with Applications
Year: 2026
Type: article
Abstract: We derive the necessary and sufficient conditions for the solvability of a system of dual quaternion matrix equations (AX, XC, EXF) = (B, D, G) as well as their general solution expressions by means of the Moore-Penrose inverse and rank equalities. Then, the main conclusions of this paper are verified via a numerical example, and the applications of such equation systems to image encryption and decryption are investigated.
Source: Symmetry
DOI: 10.3390/sym18111862
Authors: Shi-Hao Chen, Qing-Wen Wang
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
OpenAlex ID: W7221701969