On the algebraic structure of the copositive cone

Roland Hildebrand

Type: Article

Publication Date: 2020-05-20

Citations: 2

DOI: https://doi.org/10.1007/s11590-020-01591-2

View Publication

Download PDF

Locations

Optimization Letters - View
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Minimal zeros of copositive matrices	2014	Roland Hildebrand
+	Minimal zeros of copositive matrices	2013	Roland Hildebrand
+	Considering copositivity locally	2014	Peter J. C. Dickinson Roland Hildebrand
+	Linear mappings preserving the copositive cone	2019	Yaroslav Shitov
+	Linear mappings preserving the copositive cone	2019	Yaroslav Shitov
+ PDF Chat	The extreme rays of the $$6\times 6$$ copositive cone	2020	Andrey Afonin Roland Hildebrand Peter J. C. Dickinson
+	Copositive matrices with circulant zero support set	2016	Roland Hildebrand
+	On the structure of the $6 \times 6$ copositive cone	2022	Roland Hildebrand Andrey V. Afonin
+ PDF Chat	Structural Properties of Faces of the Cone of Copositive Matrices	2021	O. I. Kostyukova Tatiana Tchemisova
+	Minimal zeros of copositive matrices	2014	Roland Hildebrand
+	Copositive matrices with circulant zero support set	2016	Roland Hildebrand
+	Copositive matrices with circulant zero support set	2016	Roland Hildebrand
+	On equivalent representations and properties of faces of the cone of copositive matrice	2020	O. I. Kostyukova Tatiana Tchemisova
+	On equivalent representations and properties of faces of the cone of copositive matrice	2020	O. I. Kostyukova Tchemisova T.V
+ PDF Chat	New approximations for the cone of copositive matrices and its dual	2013	Jean B. Lasserre
+ PDF Chat	Essential components of extremal copositive matrices	2020	Roland Hildebrand Andrey Afonin
+	On the structure of the 6 × 6 copositive cone	2023	Roland Hildebrand Andrey Afonin
+	On the longest chain of faces of completely positive and copositive cones	2023	Mitsuhiro Nishijima
+	Minimal zeros of copositive matrices	2014	Roland Hildebrand
+	An Analytic Center Cutting Plane Method to Determine Complete Positivity of a Matrix	2020	Riley Badenbroek Etienne de Klerk

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Generating extreme copositive matrices near matrices obtained from COP-irreducible graphs	2023	Maxim Manainen Mikhail Seliugin R. P. Tarasov Roland Hildebrand
+	On the structure of the 6 × 6 copositive cone	2023	Roland Hildebrand Andrey Afonin

Works Cited by This (11)

Action	Title	Year	Authors
+	On non-negative forms in real variables some or all of which are non-negative	1962	P. H. Diananda
+	Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization	2011	Immanuel M. Bomze Werner Schachinger Gabriele Uchida
+	Copositive optimization – Recent developments and applications	2011	Immanuel M. Bomze
+ PDF Chat	A Variational Approach to Copositive Matrices	2010	Jean‐Baptiste Hiriart‐Urruty Alberto Seeger
+	Geometry of the copositive and completely positive cones	2011	Peter J. C. Dickinson
+	Copositive Programming – a Survey	2010	Mirjam Dür
+	Irreducible elements of the copositive cone	2013	Peter J. C. Dickinson Mirjam Dür Luuk Gijben Roland Hildebrand
+	Minimal zeros of copositive matrices	2014	Roland Hildebrand
+	Considering copositivity locally	2016	Peter J. C. Dickinson Roland Hildebrand
+	Copositive matrices with circulant zero support set	2016	Roland Hildebrand