Levenberg-Marquardt algorithms for unconstrained multicriteria optimization p

Pradyumn Kumar Shukla, Andreas Fischer

Research output: Contribution to journalArticlepeer-review

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.
Original languageUndefined
Pages (from-to)643-646
Number of pages4
JournalOperations Research Letters
Volume36
Issue number5
Publication statusPublished - Sept 2008

Keywords

  • Multicriteria optimization
  • Levenberg–Marquardt method
  • Error bound
  • Quadratic convergence

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