A Relaxation Two-Step Newton-Based Matrix Splitting Iteration Method for Generalized Absolute Value Equations Associated with Circular Cones
Year: 2025
Author: Dongmei Yu, Yinghui Gao, Cairong Chen, Deren Han
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 138–162
Abstract
A relaxation two-step Newton-based matrix splitting (RTNMS) iteration method is proposed to solve the generalized absolute value equations associated with circular cones (CCGAVE). The convergence of the RTNMS iteration method is investigated under suitable conditions. Numerical results illustrate that the RTNMS iteration method is feasible and effective for solving the CCGAVE. Moreover, some sufficient conditions for the unique solvability of the CCGAVE are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-172.281023
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 138–162
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Generalized absolute value equations circular cone Newton-based matrix splitting method convergence analysis.