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math.NA2018★ 2 cited
Generalized eigenvalue methods for Gaussian quadrature rules
Grigoriy Blekherman, Mario Kummer, Cordian Riener +2
A quadrature rule of a measure on the real line represents a convex combination of finitely many evaluations at points, called nodes, that agrees with integration against 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 and be positive integers. Let be a positive Borel measure on possessing finite moments up to degree . If the support of is contained in an…