A new iterative method based on Weddle’s rule for solving absolute value equations

In this study, we examine the two-step technique for solving absolute value equations. In this approach, we utilize the generalized Newton approach as a predictor step. The Weddle’s formula is used as a corrector step. Furthermore, we demonstrate the convergence analysis of the suggested technique using different theorems under certain assumptions. Numerical experiments are used to demonstrate the effectiveness and feasibility of the suggested approach. Finally, we show the conclusion of the proposed technique.

Authors

Institutions

Publication Details

Journal
Numerical Algorithms
Published
2026-02-14
DOI
https://doi.org/10.1007/s11075-026-02324-9
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A new iterative method based on Weddle’s rule for solving absolute value equations

Loredana Ciurdariu, I. Khan, Siyar Gul, Nisar Gul
Numerical Algorithms
Iterative Methods for Nonlinear Equations
article

A new iterative method based on Weddle’s rule for solving absolute value equations

Loredana Ciurdariu, I. Khan, Siyar Gul, Nisar Gul
article en

Abstract

In this study, we examine the two-step technique for solving absolute value equations. In this approach, we utilize the generalized Newton approach as a predictor step. The Weddle’s formula is used as a corrector step. Furthermore, we demonstrate the convergence analysis of the suggested technique using different theorems under certain assumptions. Numerical experiments are used to demonstrate the effectiveness and feasibility of the suggested approach. Finally, we show the conclusion of the proposed technique.

Numerical Algorithms
Abdul Wali Khan University Mardan (PK), Polytechnic University of Timişoara (RO), Nanjing University of Posts and Telecommunications (CN)
Openalex Percentile: Top 53%
Iterative Methods for Nonlinear Equations
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.