Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609057 | Journal of Complexity | 2011 | 15 Pages |
Abstract
The Gauss–Newton 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 allows us to obtain the optimal convergence radius and the biggest range for the uniqueness of stationary point, and to unify two previous and unrelated results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
O.P. Ferreira, M.L.N. Gonçalves, P.R. Oliveira,