On total positivity of the discrete spline collocation matrix
type: Item
instance of: scholarly article
title: On total positivity of the discrete spline collocation matrix
zbMATH Open document ID: 0863.41006
author: Knut Mørken
published in: Journal of Approximation Theory
publication date: 1997-05-27T00:00:00Z
review text: \textit{R. Q. Jia} [J. Approximation Theory 39, 11-23 (1983; Zbl 0515.41010)] proved that the discrete B-spine collocation matrix is totally positive, and he also gave necessary and sufficient conditions for a minor to be strictly positive. By a counterexample, it is shown in this paper that Jia's necessary and sufficient conditions are not quite correct. Now the corrected version of this theorem is proved. Also some consequences and applications of this result are discussed.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 874145
zbMATH Keywords: discrete B-spine collocation matrix
reviewed by: Margit Lenard
MaRDI profile type: Publication
full work available at URL: jath.1996.0018
OpenAlex ID: W2086219508
DOI: 10.1006/JATH.1996.0018
description: scientific article; zbMATH DE number 874145