A Levenberg–Marquardt algorithm for unconstrained multicriteria optimization

A Levenberg–Marquardt algorithm for unconstrained multicriteria optimization

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Article ID: iaor20102892
Volume: 36
Issue: 5
Start Page Number: 643
End Page Number: 646
Publication Date: Sep 2008
Journal: Operations Research Letters
Authors: ,
Abstract:

To compute one of the nonisolated Pareto-critical points of an unconstrained multicriteria optimization problem a Levenberg–Marquardt algorithm is applied. Sufficient conditions for an error bound are provided to prove its fast local convergence. A globalized version is shown to converge to a Pareto-optimal point under convexity assumptions.

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