On the computational complexity of membership problems for the completely positive cone and its dual PJC Dickinson, L Gijben
Computational Optimization and Applications 57 (2), 403-415, 2014
181 2014 Geometry of the copositive and completely positive cones PJC Dickinson
Journal of Mathematical Analysis and Applications 380 (1), 377-395, 2011
68 2011 An improved characterisation of the interior of the completely positive cone PJC Dickinson
Electronic Journal of Linear Algebra 20, 723-729, 2010
52 2010 The Copositive Cone, the Completely Positive Cone and their Generalisations PJC Dickinson
University of Groningen, 2013
49 2013 Irreducible elements of the copositive cone PJC Dickinson, M Dür, L Gijben, R Hildebrand
Linear Algebra and its Applications 439 (6), 1605–1626, 2013
40 2013 On an extension of Pólya’s Positivstellensatz PJC Dickinson, J Povh
Journal of Global Optimization 61 (4), 615-625, 2015
32 * 2015 Erratum to: On the set-semidefinite representation of nonconvex quadratic programs over arbitrary feasible sets PJC Dickinson, G Eichfelder, J Povh
Optimization Letters 7 (6), 1387-1397, 2013
32 2013 Linear-time complete positivity detection and decomposition of sparse matrices PJC Dickinson, M Dür
SIAM Journal on Matrix Analysis and Applications 33 (3), 701-720, 2012
30 2012 Considering Copositivity Locally PJC Dickinson, R Hildebrand
Journal of Mathematical Analysis and Applications 437 (2), 1184-1195, 2016
26 2016 Scaling relationship between the copositive cone and Parrilo’s first level approximation PJC Dickinson, M Dür, L Gijben, R Hildebrand
Optimization Letters 7 (8), 1669-1679, 2013
24 2013 On the Exhaustivity of Simplicial Partitioning PJC Dickinson
Journal of Global Optimization 58 (1), 189-203, 2013
22 2013 A new certificate for copositivity PJC Dickinson
Linear algebra and its applications 569, 15-37, 2019
20 2019 The extreme rays of the A Afonin, R Hildebrand, PJC Dickinson
Journal of Global Optimization 79 (1), 153-190, 2021
19 2021 The structure of completely positive matrices according to their CP-rank and CP-plus-rank I Bomze, PJC Dickinson, G Still
Linear Algebra and its Applications 482, 191-206, 2015
19 2015 A fresh CP look at mixed-binary QPs: new formulations and relaxations IM Bomze, J Cheng, PJC Dickinson, A Lisser
Mathematical Programming 166, 159-184, 2017
16 2017 A new approximation hierarchy for polynomial conic optimization PJC Dickinson, J Povh
Computational Optimization and Applications 73 (1), 37–67, 2019
14 * 2019 Moment approximations for set-semidefinite polynomials PJC Dickinson, J Povh
Journal of Optimization Theory and Applications 159 (1), 57-68, 2013
7 2013 Generating irreducible copositive matrices using the stable set problem PJC Dickinson, R de Zeeuw
Discrete applied mathematics 296, 103-117, 2021
6 2021 Notoriously hard (mixed-) binary QPs: empirical evidence on new completely positive approaches IM Bomze, J Cheng, PJC Dickinson, A Lisser, J Liu
Computational Management Science 16 (4), 593–619, 2019
4 2019 A fresh CP look at mixed-binary QPs: new formulations and relaxations A LISSER, I Bomze, J Cheng, P Dickinson, A Lisser
HAL 2017, 2017
2017 
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