Convergence of the Gauss–Newton method for a special class of systems of equations under a majorant condition

DOI10.1080/02331934.2013.778854zbMath1314.65074arXiv1206.4103OpenAlexW2027427075MaRDI QIDQ4981872

Paulo Roberto Oliveira, Max L. N. Gonçalves

Publication date: 20 March 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4103

zbMATH Keywords

system of nonlinear equationsGauss-Newton methodunderdetermined systemsemi-local convergencemajorant condition

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Cites Work

• Local convergence of Newton's method under majorant condition
• Local convergence analysis of the Gauss-Newton method under a majorant condition
• Local convergence analysis of inexact Newton-like methods under majorant condition
• Local convergence analysis of inexact Gauss-Newton like methods under majorant condition
• Kantorovich's majorants principle for Newton's method
• Convergence criterion of Newton's method for singular systems with constant rank derivatives
• Kantorovich's type theorems for systems of equations with constant rank derivatives
• Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory
• A Kantorovich-type convergence analysis for the Gauss-Newton-method
• Newton's method for analytic systems of equations with constant rank derivatives
• Convergence of Newton's method and uniqueness of the solution of equations in Banach space
• Newton's method for overdetermined systems of equations
• Local convergence of Newton's method in Banach space from the viewpoint of the majorant principle

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