ZNN Models for Computing Matrix Inverse Based on Hyperpower Iterative Methods

Stojanovic, Igor and Stanimirovic, Predrag and Zivkovic, Ivan and Gerontitis, Dimitrios and Wang, Xue-Zhong (2017) ZNN Models for Computing Matrix Inverse Based on Hyperpower Iterative Methods. Filomat, 31 (10). pp. 2999-3014. ISSN 0354-5180

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Official URL: http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/20...

Abstract

Our goal is to investigate and exploit an analogy between the scaled hyperpower family (SHPI family) of iterative methods for computing the matrix inverse and the discretization of Zhang Neural Network (ZNN) models. A class of ZNN models corresponding to the family of hyperpower iterative methods for computing generalized inverses is defined on the basis of the discovered analogy. The Simulink implementation in Matlab of the introduced ZNN models is described in the case of scaled hyperpower methods of the order 2 and 3. Convergence properties of the proposed ZNN models are investigated as well as their numerical behavior.

Item Type: Article
Subjects: Natural sciences > Computer and information sciences
Engineering and Technology > Electrical engineering, electronic engineering, information engineering
Divisions: Faculty of Computer Science
Depositing User: Igor Stojanovik
Date Deposited: 28 Sep 2017 13:10
Last Modified: 09 Oct 2017 11:12
URI: http://eprints.ugd.edu.mk/id/eprint/18267

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