Work

Iterative Methods for Solving New Generalized Absolute Value Equations

Year: 2026

Type: preprint

Abstract: In this paper, we propose two iterative methods, the modified Picard method (MPM) and the generalized Traub method (GTM), to solve a new generalized absolute value equation (NGAVE). We establish their convergence under appropriate assumptions. Additionally, numerical examples demonstrate the effectiveness and applicability of the developed algorithms.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.39933

Authors: Kumar, Shubham, Dhar, Joydip

Institution: Atal Bihari Vajpayee Indian Institute of Information Technology and Management

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7224845737

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