A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking

Autor: Vladislav N. Kovalnogov, Ruslan V. Fedorov, Igor I. Shepelev, Vyacheslav V. Sherkunov, Theodore E. Simos, Spyridon D. Mourtas, Vasilios N. Katsikis
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 25966-25989 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231323?viewType=HTML
Popis: Due to its significance in science and engineering, time-varying linear matrix equation (LME) problems have received a lot of attention from scholars. It is for this reason that the issue of finding the minimum-norm least-squares solution of the time-varying quaternion LME (ML-TQ-LME) is addressed in this study. This is accomplished using the zeroing neural network (ZNN) technique, which has achieved considerable success in tackling time-varying issues. In light of that, two new ZNN models are introduced to solve the ML-TQ-LME problem for time-varying quaternion matrices of arbitrary dimension. Two simulation experiments and two practical acoustic source tracking applications show that the models function superbly.
Databáze: Directory of Open Access Journals