On the solvability of the Birkhoff interpolation problem
type: Item
instance of: scholarly article
title: On the solvability of the Birkhoff interpolation problem
zbMATH Open document ID: 1030.41002
DOI: 10.1016/S0021-9045(03)00132-1
author: D. Massart
published in: Journal of Approximation Theory
publication date: 2003-11-19T00:00:00Z
review text: The authors study a univariate Birkhoff interpolation problem. They determine the smallest \(N\) for which the Birkhoff interpolation problem is always solvable. This is the main result of the paper and it is contained in Theorem 2.1, where is obtained the best possible upper bound for the solvability number of an incidence matrix \(E\) in terms only of its number of ones, its number of odd supported sequences and its almost-Pólya defect. Finally, an example is presented.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 2005940
zbMATH Keywords: Birkhoff interpolation
zbMATH Keywords: rectangular Vandermonde matrices
reviewed by: Dan Bărbosu
MaRDI profile type: Publication
cites work: A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
cites work: Remarks on the Rank of Hermite–Birkhoff Interpolation
cites work: Birkhoff interpolation and the problem of free matrices
cites work: Q3672421
cites work: On Hermite-Birkhoff interpolation
full work available at URL: s0021-9045(03)00132-1
OpenAlex ID: W2086460932
description: scientific article; zbMATH DE number 2005940