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A Note on the Convergence of Newton's Method

Authors: L. B. Rall

Published: 1974 (Journal Paper)

Source: SIAM Journal on Numerical Analysis

Algorithm: Newton's Method

DOI: 10.1137/0711004

Summary

Provides refined conditions and tighter bounds on the local quadratic convergence of Newton's method for solving nonlinear equations in Banach spaces, extending classical Kantorovich-type analyses.

Abstract

Primary

Paper epubs.siam.org

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DOI 10.1137/0711004

Tags

  • Newton's method

  • Convergence analysis

  • Nonlinear equations

  • Numerical analysis

  • Quadratic convergence