Cordian Riener
Cordian Riener
Professor of Mathematics, UiT – The Arctic University of Norway
Bestätigte E-Mail-Adresse bei - Startseite
Zitiert von
Zitiert von
Exploiting symmetries in SDP-relaxations for polynomial optimization
C Riener, T Theobald, LJ Andrén, JB Lasserre
Mathematics of Operations Research 38 (1), 122-141, 2013
On the degree and half-degree principle for symmetric polynomials
C Riener
Journal of Pure and Applied Algebra 216 (4), 850-856, 2012
Symmetric nonnegative forms and sums of squares
G Blekherman, C Riener
Discrete & Computational Geometry 65, 764 - 799, 2021
Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in …
C Riener, M Schweighofer
Journal of Complexity 45, 22 - 54, 2018
Symmetric semi-algebraic sets and non-negativity of symmetric polynomials
C Riener
Journal of Pure and Applied Algebra 220 (8), 2809-2815, 2016
On extreme forms in dimension 8
C Riener
Journal de théorie des nombres de Bordeaux 18 (3), 677-682, 2006
Real root finding for equivariant semi-algebraic systems
C Riener, MSE Din
International Symposium on Symbolic and Algebraic Computation 2018, 335-342, 2018
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets
S Basu, C Riener
Advances in Mathematics 305, 803-855, 2017
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
P Moustrou, C Riener, H Verdure
Journal of Symbolic Computation 107, 106 - 121, 2021
Symmetries in Semidefinite and Polynomial Optimization: Relaxations, Combinatorics, and the Degree Principle
CB Riener
Univ.-Bibliothek Frankfurt am Main, 2011
Deciding positivity of multisymmetric polynomials
P Görlach, C Riener, T Weißer
Journal of Symbolic Computation 74, 603–616, 2016
On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities
S Basu, C Riener
International Mathematics Research Notices 2020 (7), 2054–2113, 2020
Reflection groups, reflection arrangements, and invariant real varieties
T Friedl, C Riener, R Sanyal
Proceedings of the AMS 146 (3), 1031–1045, 2018
A note on extrema of linear combinations of elementary symmetric functions
A Kovačec, S Kuhlmann, C Riener
Linear and Multilinear Algebra 60 (2), 219-224, 2012
Symmetry reduction in AM/GM-based optimization
P Moustrou, H Naumann, C Riener, T Theobald, H Verdure
SIAM J. Optimization, 2021
Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets
S Basu, C Riener
Ordered Algebraic Structures and Related Topics, Contemporary Mathematics …, 2017
Positive Polynome und semidefinite Optimierung
C Riener, T Theobald
Jahresbericht der DMV 100, 57-76, 2008
Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets
S Basu, C Riener
Foundations of Computational Mathematics, 2021
On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms
S Basu, C Riener
Selecta Mathematica 24 (4), 3241-3281, 2018
Return of the plane evolute
R Piene, C Riener, B Shapiro
arXiv:2110.11691, 2021
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