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The Newton-based Matrix Splitting Iterative Method for Solving Generalized Absolute Value Equation With Nonlinear Term

Year: 2025

Type: article

Abstract: A new Newton-based matrix splitting iterative method is proposed for solving generalized absolute value equation with nonlinear term. We give the global convergence of this method. Further some new convergence conditions are proposed when A = M - N is an H-compatible splitting. Numerical results indicate that the new Newton-based matrix splitting iterative method for solving generalized absolute value equation with nonlinear term is effective.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240198

Authors: Changfeng Ma, Yuhong Wu, Yajun Xie

Institutions: Xiamen Institute of Technology, Fuzhou University of International Studies and Trade

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533764

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