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A Relaxation Two-Step Newton-Based Matrix Splitting Iteration Method for Generalized Absolute Value Equations Associated with Circular Cones

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.

Author Details

Dongmei Yu

Yinghui Gao

Cairong Chen

Deren Han