R. Hildebrand

activity

20052022

most citedPPT from spectra

60 citations · 138 across the 20 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.OC2021

Extremal cubics on the circle and the 2-sphere

Anastasia Ivanova, Roland Hildebrand

We study balls of homogeneous cubics on $R^{n}$ , $n = 2, 3$ , which are bounded by unity on the unit sphere. For $n = 2$ we completely describe the facial structure of this nor…

math.OC2021

Improving the constant in Nesterov's $\frac{π}{2}$ -theorem

Roland Hildebrand

One of the hard optimization problems that has a semi-definite relaxation with quantitative bound on the approximation error is the maximization of a convex quadratic form on the h…

math.OC2021★ 1 cited

Semi-definite representations for sets of cubics on the 2-sphere

Roland Hildebrand

The compact set of homogeneous quadratic polynomials in $n$ real variables with modulus bounded by 1 on the unit sphere $S^{n - 1}$ is trivially semi-definite representable. The comp…

Extremal cubics on the circle and the 2-sphere

Improving the constant in Nesterov's 2π​-theorem

Semi-definite representations for sets of cubics on the 2-sphere

Improving the constant in Nesterov's $\frac{π}{2}$ -theorem