Iterative Methods for Solving New Generalized Absolute Value Equations

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.39933
Primary Topic
Iterative Methods for Nonlinear Equations
Type
preprint
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preprint

Iterative Methods for Solving New Generalized Absolute Value Equations

Joydip Dhar, Shubham Kumar
arXiv (Cornell University)
Iterative Methods for Nonlinear Equations
preprint

Iterative Methods for Solving New Generalized Absolute Value Equations

Joydip Dhar, Shubham Kumar
preprint en

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.

arXiv (Cornell University)
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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Iterative Methods for Solving New Generalized Absolute Value Equations — Joydip Dhar, Shubham Kumar · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS