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 | 151 | 2013 |
On the degree and half-degree principle for symmetric polynomials C Riener Journal of Pure and Applied Algebra 216 (4), 850-856, 2012 | 55 | 2012 |
Symmetric nonnegative forms and sums of squares G Blekherman, C Riener Discrete & Computational Geometry 65, 764 - 799, 2021 | 45* | 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 | 23 | 2018 |
Symmetric semi-algebraic sets and non-negativity of symmetric polynomials C Riener Journal of Pure and Applied Algebra 220 (8), 2809-2815, 2016 | 21 | 2016 |
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 | 19 | 2021 |
Symmetry reduction in AM/GM-based optimization P Moustrou, H Naumann, C Riener, T Theobald, H Verdure SIAM Journal on Optimization 32 (2), 765 - 785, 2022 | 15 | 2022 |
Real root finding for equivariant semi-algebraic systems C Riener, MSE Din International Symposium on Symbolic and Algebraic Computation 2018, 335-342, 2018 | 15 | 2018 |
Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets S Basu, C Riener Foundations of Computational Mathematics 22, 1395–1462, 2022 | 13 | 2022 |
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets S Basu, C Riener Advances in Mathematics 305, 803-855, 2017 | 13 | 2017 |
Reflection groups and cones of sums of squares S Debus, C Riener Journal of Symbolic Computation 119, 112-144, 2023 | 11 | 2023 |
Reflection groups, reflection arrangements, and invariant real varieties T Friedl, C Riener, R Sanyal Proceedings of the AMS 146 (3), 1031–1045, 2018 | 11* | 2018 |
Symmetries in semidefinite and polynomial optimization: relaxations, combinatorics, and the degree principle/von Cordian Benedikt Riener C Riener Universitätsbibliothek Johann Christian Senckenberg, 2011 | 10* | 2011 |
On extreme forms in dimension 8 C Riener Journal de théorie des nombres de Bordeaux 18 (3), 677-682, 2006 | 10 | 2006 |
Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions C Riener, R Schabert Journal of Pure and Applied Algebra 228 (5), 107552, 2024 | 9 | 2024 |
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 | 9 | 2020 |
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 | 7 | 2017 |
Deciding positivity of multisymmetric polynomials P Görlach, C Riener, T Weißer Journal of Symbolic Computation 74, 603–616, 2016 | 7 | 2016 |
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 | 7 | 2012 |
The wonderful geometry of the Vandermonde map J Acevedo, G Blekherman, S Debus, C Riener arXiv preprint arXiv:2303.09512, 2023 | 6 | 2023 |