Computing Fekete and Lebesgue points: Simplex, square, disk

We have computed point sets with maximal absolute value of the Vandermonde determinant (Fekete points) or minimal Lebesgue constant (Lebesgue points) on three basic bidimensional compact sets: the simplex, the square, and the disk. Using routines of the Matlab Optimization Toolbox, we have obtained...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2012-03, Vol.236 (9), p.2477-2486
Main Authors: Briani, Matteo, Sommariva, Alvise, Vianello, Marco
Format: Article
Language:English
Subjects:
Disk
Fekete Points
Interpolation
Lebesgue Points
Simplex
Square
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We have computed point sets with maximal absolute value of the Vandermonde determinant (Fekete points) or minimal Lebesgue constant (Lebesgue points) on three basic bidimensional compact sets: the simplex, the square, and the disk. Using routines of the Matlab Optimization Toolbox, we have obtained some of the best bivariate interpolation sets known so far.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2011.12.006