Name
Title | ||
|---|---|---|
Local convergence analysis of inexact Gauss-Newton like methods under majorant condition |
Abstract | ||
|---|---|---|
In this paper, we present a local convergence analysis of inexact Gauss-Newton like methods for solving nonlinear least squares problems. Under the hypothesis that the derivative of the function associated with the least squares problem satisfies a majorant condition, we obtain that the method is well-defined and converges. Our analysis provides a clear relationship between the majorant function and the function associated with the least squares problem. It also allows us to obtain an estimate of convergence ball for inexact Gauss-Newton like methods and some important, special cases. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.cam.2011.12.008 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
special case,majorant function,inexact gauss-newton,majorant condition,local convergence analysis,squares problem,clear relationship,convergence ball,nonlinear equation,local convergence,nonlinear least squares,satisfiability,lipschitz continuity,numerical analysis | Least squares,Convergence (routing),Gauss,Mathematical optimization,Mathematical analysis,Generalized least squares,Local convergence,Non-linear least squares,Total least squares,Recursive least squares filter,Mathematics | Journal |
Volume | Issue | ISSN |
236 | 9 | 0377-0427 |
Citations | PageRank | References |
6 | 0.50 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| O. P. Ferreira | 1 | 17 | 1.37 |
| M. L. N. Gonçalves | 2 | 45 | 5.93 |
| P. R. Oliveira | 3 | 6 | 0.84 |