M. Schweighofer

activity

20042023

most citedConnes' embedding conjecture and sums of hermitian squares

116 citations · 258 across the 22 of their papers we have counts for

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2 papers · 1 filter

math.NA2018★ 2 cited

Generalized eigenvalue methods for Gaussian quadrature rules

Grigoriy Blekherman, Mario Kummer, Cordian Riener +2

A quadrature rule of a measure $μ$ on the real line represents a convex combination of finitely many evaluations at points, called nodes, that agrees with integration against $μ$ f…

math.NA2016

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 higher dimensions

Cordian Riener, Markus Schweighofer

Let $d$ and $k$ be positive integers. Let $μ$ be a positive Borel measure on $R^{2}$ possessing finite moments up to degree $2 d - 1$ . If the support of $μ$ is contained in an…