Name
Title | ||
|---|---|---|
Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition |
Abstract | ||
|---|---|---|
A local convergence analysis of the Gauss-Newton method for solving injective-overdetermined systems of nonlinear equations under a majorant condition is provided. The convergence as well as results on its rate are established without a convexity hypothesis on the derivative of the majorant function. The optimal convergence radius, the biggest range for uniqueness of the solution along with some other special cases are also obtained. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.camwa.2013.05.019 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
special case,majorant function,gauss-newton method,majorant condition,nonlinear equation,optimal convergence radius,biggest range,convexity hypothesis,local convergence analysis,injective-overdetermined system,local convergence | Convergence (routing),Uniqueness,Overdetermined system,Convexity,Mathematical optimization,Nonlinear system,Mathematical analysis,Compact convergence,Local convergence,Mathematics,Modes of convergence | Journal |
Volume | Issue | ISSN |
66 | 4 | 0898-1221 |
Citations | PageRank | References |
1 | 0.36 | 12 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. L. N. Gonçalves | 1 | 45 | 5.93 |