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 | 123 | 2014 |

Geometry of the copositive and completely positive cones PJC Dickinson Journal of Mathematical Analysis and Applications 380 (1), 377-395, 2011 | 46 | 2011 |

An improved characterisation of the interior of the completely positive cone PJC Dickinson Electronic Journal of Linear Algebra 20, 723-729, 2010 | 41 | 2010 |

The Copositive Cone, the Completely Positive Cone and their Generalisations PJC Dickinson University of Groningen, 2013 | 34 | 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 | 32 | 2013 |

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 | 29 | 2013 |

On an extension of Pólya’s Positivstellensatz PJC Dickinson, J Povh Journal of Global Optimization 61 (4), 615-625, 2015 | 21* | 2015 |

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 | 21 | 2012 |

Considering Copositivity Locally PJC Dickinson, R Hildebrand Journal of Mathematical Analysis and Applications 437 (2), 1184-1195, 2016 | 18 | 2016 |

On the Exhaustivity of Simplicial Partitioning PJC Dickinson Journal of Global Optimization 58 (1), 189-203, 2013 | 17 | 2013 |

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 | 13 | 2013 |

A fresh CP look at mixed-binary QPs: new formulations and relaxations IM Bomze, J Cheng, PJC Dickinson, A Lisser Mathematical Programming 166 (1-2), 159-184, 2017 | 12 | 2017 |

A new certificate for copositivity PJC Dickinson Linear algebra and its applications 569, 15-37, 2019 | 11 | 2019 |

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 | 11 | 2015 |

A new approximation hierarchy for polynomial conic optimization PJC Dickinson, J Povh Computational Optimization and Applications 73 (1), 37–67, 2019 | 6* | 2019 |

The extreme rays of the 6× 6 copositive cone A Afonin, R Hildebrand, P Dickinson | 5 | 2020 |

Moment approximations for set-semidefinite polynomials PJC Dickinson, J Povh Journal of Optimization Theory and Applications 159 (1), 57-68, 2013 | 3 | 2013 |

Generating irreducible copositive matrices using the stable set problem PJC Dickinson, R de Zeeuw Discrete Applied Mathematics, 2020 | 1 | 2020 |

Erratum to: On the DJL conjecture for order 6 PJC Dickinson Operators and Matrices, 0 | 1* | |

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 | | 2019 |