EURO 2025 Leeds
Abstract Submission

2783. Rotational relaxations for global optimization of quadratic programs

Invited abstract in session WB-35: MINLP 1, stream Continuous and mixed-integer nonlinear programming: theory and algorithms.

Wednesday, 10:30-12:00
Room: Michael Sadler LG15

Authors (first author is the speaker)

1. Yehor Blokhin
Mathematics, KTH Royal Institute of Technology
2. Jan Kronqvist
Mathematics, KTH Royal Institute of Technology

Abstract

In this talk, we consider the global optimization of non-convex quadratic programs with linear constraints, defining a bounded set. We introduce a family of new relaxation methods, which are derived by reformulating the problem by linearly transforming the vector space using constraints. The preliminary results show that the presented approaches, integrated with the αBB method and McCormick envelopes, can massively increase the quality of the convex relaxation.

Keywords

Status: accepted


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