On the constrained error bound condition and the projected Levenberg-Marquardt method

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

In this paper, we first derive a characterization of the solution set of a continuously differentiable system of equations subject to a closed feasible set. Assuming that a constrained local error bound condition is satisfied, we prove that the solution set can locally be written as the intersection of a differentiable manifold with the feasible set. Based on the derivation of this result, we then show that the projected Levenberg–Marquardt method converges locally R-linearly to a possibly nonisolated solution under significantly weaker conditions than previously done.

Details

OriginalspracheEnglisch
Seiten (von - bis)1397-1411
Seitenumfang15
FachzeitschriftOptimization
Jahrgang66
Ausgabenummer8
PublikationsstatusVeröffentlicht - 2017
Peer-Review-StatusJa

Externe IDs

Scopus 84976318057

Schlagworte

DFG-Fachsystematik nach Fachkollegium

Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis

Schlagwörter

  • constrained error bound, projected Levenberg-Marquardt method

Bibliotheksschlagworte