Superlinear convergence theorems for Newton-type methods for nonlinear systems of equations

DOI10.1007/BF00940181zbMath0794.90054OpenAlexW2067434080MaRDI QIDQ1321180

V. Pereyra

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940181

zbMATH Keywords

nonlinear systems of equationsnonlinear ABS algorithm\(Q\)-order convergence theoremstruncated-Newton algorithms

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Cites Work

• On the numerical stability of Huang's and related methods
• The local convergence of ABS methods for nonlinear algebraic equations
• Superlinear convergence theorem in the ABSg class of algorithms for nonlinear algebraic equations
• Truncated-Newton algorithms for large-scale unconstrained optimization
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• Inexact Newton Methods
• Unnamed Item

This page was built for publication: Superlinear convergence theorems for Newton-type methods for nonlinear systems of equations