Toward a Unified Convergence Theory for Newton-Like Methods-Reference-Cited by-同舟云学术

Toward a Unified Convergence Theory for Newton-Like Methods

Published:1971 Issue: Volume: Page:425-472
ISSN:
Container-title:Nonlinear Functional Analysis and Applications
language:
Short-container-title:

Author:

DENNIS J.E.

Publisher

Elsevier

Reference38 articles.

1. Boggs, P. T., The solution of nonlinear operator equations by A-stable integration techniques, Cornell University, Department of Computer Science Technical Report 70–72, 1970.

2. Bosarge, W. E., Infinite dimensional iterative methods and applications, IBM Publication 320–2347 (Houston, Texas).

3. Brown, K. M., and J. E. Dennis, A new algorithm for the nonlinear least squares problem, Cornell University, Department of Computer Science Technical Report 70–57, 1970.

4. A class of method for solving nonlinear simultaneous equations;Broyden;Math. Comp.,1965

5. Approximate solutions to nonlinear integral equations;Bryan;SIAM J. Numer. Anal.,1968

Cited by 68 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Using decomposition of the nonlinear operator for solving non‐differentiable problems;Mathematical Methods in the Applied Sciences;2023-06-04

2. Local Convergence of a Family of Kurchatov Like Methods for Nonlinear Equations;Springer Proceedings in Mathematics & Statistics;2022

3. On semilocal convergence of three-step Kurchatov method under weak condition;Arabian Journal of Mathematics;2021-01-07

4. Kantorovich-Like Convergence Theorems for Newton’s Method Using Restricted Convergence Domains;Numerical Functional Analysis and Optimization;2019-01-12

5. Numerical methods for nonlinear equations;Acta Numerica;2018-05-01