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Multi-start approach for an integer determinant maximization problem

Sotirov,R.
; 
Terlaky,T.
Abstract
In this article, we present a multi-start approach to solve a determinant maximization problem of an integer matrix variable that has a constant trace. In order to enforce that elements of the matrix variable are integer, we add a nonlinear repeller term to the objective function. To solve this nonlinear optimization problem we implement our sequential conic trust-region-based algorithm within a multi-start framework. To demonstrate the potential of our approach, we use a determinant maximization model from crystallography.
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2013
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Tilburg University Research Output Collection
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Sotirov, R & Terlaky, T 2013, 'Multi-start approach for an integer determinant maximization problem', Optimization, vol. 62, no. 1, pp. 101-114.
URI
https://hdl.handle.net/20.500.14602/58941
License
info:eu-repo/semantics/restrictedAccess
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