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arXiv · 2608.30611

A method for global minimization of nonconvex quadratic functions

Adil Bagirov·Vivek Laha·Juan Enrique Martínez-Legaz
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Abstract

The problem of global minimization of nonconvex quadratic functions subject to box constraints is studied. Applying Gershgorin theorem we reduce the main matrix A to its diagonal form which is used to obtain difference of convex representation of the quadratic function. Then {\epsilon}-subdifferentials of DC components are studied and used to design a method for minimizing the quadratic function globally.

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Adil Bagirov, Vivek Laha, Juan Enrique Martínez-Legaz. 2026-08-31. A method for global minimization of nonconvex quadratic functions. https://arxiv.org/abs/2608.30611

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