Correction to: Kernel-based interpolation at approximate Fekete points
نویسندگان
چکیده
منابع مشابه
Approximate Fekete Points for Weighted Polynomial Interpolation
We compute approximate Fekete points for weighted polynomial interpolation by a recent algorithm based on QR factorizations of Vandermonde matrices. We consider in particular the case of univariate and bivariate functions with prescribed poles or other singularities, which are absorbed in the basis by a weight function. Moreover, we apply the method to the construction of real and complex weigh...
متن کاملFekete Points
In this communication we present a new method to estimate Fekete points on surfaces. Our method works in a general setting, in the sense that we can obtain good estimations of the Fekete points on piecewise regular surfaces. The determination of Fekete points in the unit sphere is considered as a model of a highly non-linear optimization problem with non-linear constraints. In fact, obtaining a...
متن کاملOn the Calculation of Approximate Fekete Points: the Univariate Case
We discuss some theoretical aspects of the univariate case of the method recently introduced by Sommariva and Vianello [12] for the calculation of approximate Fekete points for polynomial interpolation.
متن کاملComputing approximate Fekete points by QR factorizations of Vandermonde matrices
We propose a numerical method (implemented in Matlab) for computing algebraic quadrature nodes and weights on compact multivariate domains. It relies on the search of maximum volume submatrices of Vandermonde matrices in suitable polynomial bases, by a greedy algorithm based on QR factorization with column pivoting. Such nodes are approximate Fekete points, and are good also for polynomial inte...
متن کاملPolynomial approximation and cubature at approximate Fekete and Leja points of the cylinder
The paper deals with polynomial interpolation, least-square approximation and cubature of functions defined on the rectangular cylinder, K = D × [−1, 1], with D the unit disk. The nodes used for these processes are the Approximate Fekete Points (AFP) and the Discrete Leja Points (DLP) extracted from suitable Weakly Admissible Meshes (WAMs) of the cylinder. ¿From the analysis of the growth of th...
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ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 2020
ISSN: 1017-1398,1572-9265
DOI: 10.1007/s11075-020-01034-0