pith. sign in

arxiv: 1003.5004 · v1 · submitted 2010-03-25 · 🧮 math.OC

Local convergence analysis of Gauss-Newton's method under majorant condition

O.P. Ferreira , M.L.N. Goncalves , P.R. Oliveira This is my paper
classification 🧮 math.OC
keywords analysisconvergenceconditiongauss-newtonleastlocalmajorantmethod
0
0 comments X
read the original abstract

The Gauss-Newton's method for solving nonlinear least squares problems is studied in this paper. Under the hypothesis that the derivative of the function associated with the least square problem satisfies a majorant condition, a local convergence analysis is presented. This analysis allow us to obtain the optimal convergence radius, the biggest range for the uniqueness of solution, and to unify two previous and unrelated results.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Local Geometry of Least Squares for Unmixing Signals with Parameter-Dependent Dictionaries

    eess.SP 2026-05 unverdicted novelty 7.0

    A new unmixing metric and geometric analysis yield local convergence and stability guarantees for least-squares unmixing of separable signals, with application to PSF unmixing.