A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking-Reference-Cited by-同舟云学术

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

Published:2023 Issue:11 Volume:8 Page:25966-25989
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kovalnogov Vladislav N.¹,Fedorov Ruslan V.¹,Shepelev Igor I.¹,Sherkunov Vyacheslav V.¹,Simos Theodore E.¹²³⁴⁵,Mourtas Spyridon D.⁶⁷,Katsikis Vasilios N.⁶

Affiliation:

1. Laboratory of Interdisciplinary Problems in Energy Production, Ulyanovsk State Technical University, 32 Severny Venetz Street, 432027 Ulyanovsk, Russia

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung City 40402, Taiwan

3. Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, West Mishref, 32093 Kuwait

4. Data Recovery Key Laboratory of Sichun Province, Neijing Normal Univ., Neijiang 641100, China

5. Section of Mathematics, Dept. of Civil Engineering, Democritus Univ. of Thrace, Xanthi 67100, Greece

6. Department of Economics, Division of Mathematics-Informatics and Statistics-Econometrics, National and Kapodistrian University of Athens, Sofokleous 1 Street, 10559 Athens, Greece

7. Laboratory "Hybrid Methods of Modelling and Optimization in Complex Systems", Siberian Federal University, Prosp. Svobodny 79, 660041 Krasnoyarsk, Russia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference57 articles.

1. G. X. Huang, F. Yin, K. Guo, An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB = C, J. Comput. Appl. Math, 212 (2008), 231–244. https://doi:10.1016/j.cam.2006.12.005

2. S. D. Mourtas, V. N. Katsikis, C. Kasimis, Feedback control systems stabilization using a bio-inspired neural network, EAI Endorsed Trans. AI Robotics, 1 (2022), 1–13.

3. J. Kurzak, A. Buttari, J. J. Dongarra, Solving systems of linear equations on the CELL processor using Cholesky factorization, IEEE Trans. Parallel Distributed Syst., 19 (2008), 1175–1186.

4. Z. Zhang, Z. Yan, An adaptive fuzzy recurrent neural network for solving non-repetitive motion problem of redundant robot manipulators, IEEE Trans. Fuzzy Syst., 28 (2020), 684–691. https://doi.org/10.1109/TFUZZ.2019.2914618

5. T. Sarkar, K. Siarkiewicz, R. Stratton, Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems, IEEE Trans. Antennas Propag., 29 (1981), 847–856. https://doi.org/10.1109/TAP.1981.1142695

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