[HTML][HTML] Optimization under uncertainty and risk: Quadratic and copositive approaches

IM Bomze, M Gabl - European Journal of Operational Research, 2023 - Elsevier
Robust optimization and stochastic optimization are the two main paradigms for dealing with
the uncertainty inherent in almost all real-world optimization problems. The core principle of …

The copositive cone, the completely positive cone and their generalisations

PJC Dickinson - 2013 - research.rug.nl
In het leven streven we vaak naar het beste, of het er nu om gaat het snelste te zijn, het
sterkste, het meest efficiënt of het meest precies. Wiskundige optimalisatie is hierbij een …

[HTML][HTML] A new certificate for copositivity

PJC Dickinson - Linear algebra and its applications, 2019 - Elsevier
In this article, we introduce a new method of certifying any copositive matrix to be copositive.
This is done through the use of a theorem by Hadeler and the Farkas Lemma. For a given …

Approximation hierarchies for copositive cone over symmetric cone and their comparison

M Nishijima, K Nakata - Journal of Global Optimization, 2024 - Springer
We first provide an inner-approximation hierarchy described by a sum-of-squares (SOS)
constraint for the copositive (COP) cone over a general symmetric cone. The hierarchy is a …

Completely positive and completely positive semidefinite tensor relaxations for polynomial optimization

X Kuang, LF Zuluaga - Journal of Global Optimization, 2018 - Springer
Completely positive (CP) tensors, which correspond to a generalization of CP matrices,
allow to reformulate or approximate a general polynomial optimization problem (POP) with a …

[ZITATION][C] On polyhedral approximations of copositive formulations of certain quadratic optimization problems

G Mullaoğlu - 2016 - Fen Bilimleri Enstitüsü

[ZITATION][C] On outer approximations of copositive formulations of various nonconvex optimization problems

YG Gökmen - 2019 - Fen Bilimleri Enstitüsü