Another proof of the total positivity of the discrete spline collocation matrix
type: Item
instance of: scholarly article
title: Another proof of the total positivity of the discrete spline collocation matrix
zbMATH Open document ID: 0960.41005
author: Avraham A. Melkman
published in: Journal of Approximation Theory
publication date: 1997-07-21T00:00:00Z
review text: In [J. Approximation Theory 84, No. 3, 247-264 (1996; Zbl 0863.41006)] \textit{K. M. Mørken} gave necessary and sufficient conditions for a minor of a discrete B-spline collocation matrix to be strictly positive, correcting an earlier theorem of \textit{R. Q. Jia} [J. Approximation Theory 39, 11-23 (1983; Zbl 0515.41010)]. In this paper the author provides a different proof for this theorem and also supplies intuition for the conditions.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 874146
MaRDI profile type: Publication
full work available at URL: jath.1996.0019
OpenAlex ID: W2018894863
DOI: 10.1006/JATH.1996.0019
description: scientific article; zbMATH DE number 874146