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Tight SDP Relaxations for Cardinality-Constrained Problems

Angelika Wiegele () and Shudian Zhao ()
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Angelika Wiegele: Institut für Mathematik, Alpen-Adria-Universität Klagenfurt, Universitätsstraße 65-67
Shudian Zhao: Institut für Mathematik, Alpen-Adria-Universität Klagenfurt, Universitätsstraße 65-67

A chapter in Operations Research Proceedings 2021, 2022, pp 167-172 from Springer

Abstract: Abstract We model the cardinality-constrained portfolio problem using semidefinite matrices and investigate a relaxation using semidefinite programming. Experimental results show that this relaxation generates tight lower bounds and even achieves optimality on many instances from the literature. This underlines the modeling power of semidefinite programming for mixed-integer quadratic problems.

Keywords: Semidefinite programming; Cardinality-constrained problem; Mixed-integer nonlinear programming (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnopch:978-3-031-08623-6_26

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DOI: 10.1007/978-3-031-08623-6_26

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