On the constrained error bound condition and the projected Levenberg-Marquardt method
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
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
Originalsprache | Englisch |
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Seiten (von - bis) | 1397-1411 |
Seitenumfang | 15 |
Fachzeitschrift | Optimization |
Jahrgang | 66 |
Ausgabenummer | 8 |
Publikationsstatus | Veröffentlicht - 2017 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 84976318057 |
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Schlagworte
DFG-Fachsystematik nach Fachkollegium
Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis
ASJC Scopus Sachgebiete
Schlagwörter
- constrained error bound, projected Levenberg-Marquardt method