Constructing nested nodal sets for multivariate polynomial interpolation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1292.65007
DOI: 10.1137/12089613X
author: Dongbin Xiu
author: Akil C. Narayan
published in: SIAM Journal on Scientific Computing
publication date: 2014-01-21T00:00:00Z
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65F40
zbMATH DE Number: 6248295
zbMATH Keywords: greedy optimization
zbMATH Keywords: multivariate polynomial interpolation
zbMATH Keywords: Vandermonde determinant
zbMATH Keywords: Vandermonde condition number
zbMATH Keywords: Lebesgue constant
MaRDI profile type: Publication
full work available at URL: 12089613x
OpenAlex ID: W2076598621
title: Constructing nested nodal sets for multivariate polynomial interpolation
review text: The authors introduce a robust method for choosing multivariate polynomial interpolation nodes. Their method can produce an arbitrary number of nodes and is not constrained by the dimension of a complete polynomial space. They also present examples to show that the method yields nodal sets that behave well with respect to standard interpolation diagnostics: the Lebesgue constant, the Vandermonde determinant, and the Vandermonde condition number.
reviewed by: Zhihua Zhang
description: scientific article; zbMATH DE number 6248295