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A conic duality Frank-Wolfe-type theorem via exact penalization in quadratic optimization

Schachinger, Werner; Bomze, Immanuel M. - In: Mathematics of operations research 34 (2009) 1, pp. 83-91

Persistent link: https://www.econbiz.de/10003869989

The complexity of simple models : a study of worst and typical hard cases for the standard quadratic optimization problem

Bomze, Immanuel M.; Schachinger, Werner; Ullrich, Reinhard - In: Mathematics of operations research 43 (2018) 2, pp. 651-674

Persistent link: https://www.econbiz.de/10011868641

Evolution towards the maximum clique

Bomze, Immanuel M. - In: Journal of global optimization 10 (1997) 2, pp. 143-164

Persistent link: https://www.econbiz.de/10001224773

Global escape strategies for maximizing quadratic forms over a simplex

Bomze, Immanuel M. - In: Journal of global optimization 11 (1997) 3, pp. 325-338

Persistent link: https://www.econbiz.de/10001228920

Copositivity conditions for global optimality in indefinite quadratic programming problems

Bomze, Immanuel M. - In: Czechoslovak journal for operations research : CSJOR 1 (1992) 1, pp. 7-19

Persistent link: https://www.econbiz.de/10001195359

Notoriously hard (mixed-)binary QPs : empirical evidence on new completely positive approaches

Bomze, Immanuel M.; Cheng, Jianqiang; Dickinson, Peter J. C. - In: Computational Management Science : CMS 16 (2019) 4, pp. 593-619

Persistent link: https://www.econbiz.de/10012126680

Uncertain standard quadratic optimization under distributional assumptions : a chance-constrained epigraphic approach

Bomze, Immanuel M.; Vicente, Daniel de - In: Operations research letters : a journal of INFORMS … 62 (2025), pp. 1-6

Persistent link: https://www.econbiz.de/10015432298

Novel shortcut strategies in copositivity detection : decomposition for quicker positive certificates

Zischg, Johannes; Bomze, Immanuel M. - In: Operations research perspectives 14 (2025), pp. 1-12

Copositivity is a property of symmetric matrices which is NP-hard to check. Nevertheless, it plays a crucial role in tight bounds for conic approaches of several hard optimization problems. In this paper, we present novel promising shortcut strategies to exploit favorable instances in a...

Persistent link: https://www.econbiz.de/10015433444

Unconstrained formulation of standard quadratic optimization problems

Bomze, Immanuel M.; Grippo, Luigi; Palagi, Laura - In: Top : transactions in operations research 20 (2012) 1, pp. 35-51

Persistent link: https://www.econbiz.de/10009534189

Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem

Engau, Alexander; Anjos, Miguel F.; Bomze, Immanuel M. - In: Mathematical methods of operations research 78 (2013) 1, pp. 35-59

Persistent link: https://www.econbiz.de/10009774863