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• W2950672605 abstract "In this paper we present a steepest descent method with Armijo's rule for multicriteria optimization in the Riemannian context. The well definedness of the sequence generated by the method is guaranteed. Under mild assumptions on the multicriteria function, we prove that each accumulation point (if they exist) satisfies first-order necessary conditions for Pareto optimality. Moreover, assuming quasi-convexity of the multicriteria function and non-negative curvature of the Riemannian manifold, we prove full convergence of the sequence to a Pareto critical." @default.
• W2950672605 created "2019-06-27" @default.
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• W2950672605 date "2010-10-29" @default.
• W2950672605 modified "2023-09-26" @default.
• W2950672605 title "Unconstrained steepest descent method for multicriteria optimization on Riemmanian manifolds" @default.
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• W2950672605 doi "https://doi.org/10.48550/arxiv.1011.0010" @default.
• W2950672605 hasPublicationYear "2010" @default.
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