Perturbation analysis of the euclidean distance matrix optimization problem and its numerical implications

In this paper, we consider finite- and infinite-dimensional optimization problems with constraints of general type. We obtain sufficient conditions for stability of a strict solution and conditions for stability of a set of solutions with more than one point in it according to small perturbations of the problem parameters. For finite-dimensional extremal problems with equality-type constraints, we obtain stability conditions based on the construction of λ-truncations of mappings.

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Perturbation analysis of the euclidean distance matrix optimization problem and its numerical implications

Cited by 4 publications

References 38 publications

Preface to Asen L. Dontchev Memorial Special Issue

Preface to Asen L. Dontchev Memorial Special Issue

Stability of Solutions to Extremal Problems with Constraints Based on λ-Truncations

Stability of Solutions to Extremal Problems with Constraints Based on λ-Truncations

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