# Iterative Methods for Nonlinear Equations

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/iterative-methods-for-nonlinear-equations-2/

## Facts

| Field | Value |
| --- | --- |
| Citations | 311,347 |
| Description | This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T12661 |
| Works | 31,070 |

## Topic researchers

Showing 12 of 20.

- [Eric R. Ziegel](https://scholariq.org/researchers/eric-r-ziegel/)
- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [Hans‐Walter Rix](https://scholariq.org/researchers/hans-walter-rix/)
- [W. F. Mader](https://scholariq.org/researchers/w-f-mader/)
- [Gene H. Golub](https://scholariq.org/researchers/gene-h-golub/)
- [Dumitru Bǎleanu](https://scholariq.org/researchers/dumitru-baleanu/)
- [Robert R. Sokal](https://scholariq.org/researchers/robert-r-sokal/)
- [J. R. Rice](https://scholariq.org/researchers/j-r-rice/)
- [Chih‐Jen Lin](https://scholariq.org/researchers/chih-jen-lin/)
- [Chi‐Wang Shu](https://scholariq.org/researchers/chi-wang-shu/)
- [Dimitri P. Bertsekas](https://scholariq.org/researchers/dimitri-p-bertsekas/)
- [Timon Rabczuk](https://scholariq.org/researchers/timon-rabczuk/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.