Linear approximation in \(l_ n^ \infty\)
type: Item
instance of: scholarly article
title: Linear approximation in \(l_ n^ \infty\)
zbMATH Open document ID: 0802.41022
published in: Journal of Approximation Theory
publication date: 1994-06-22T00:00:00Z
review text: The paper investigates the approximation behavior of a linear subspace \(U\) in \(\ell_ n^ \infty\), i.e., in \(\mathbb{R}^ n\) equipped with the maximum norm using the classification of the index set \(\{1,\dots, n\}\) by means of the Plücker-Graßmann coordinates: the behavior of the metric projection \(P_ U\) on \(\ell_ n^ \infty\), as well as the behavior of the best approximations \(P_ U(x)\) for a single elements \(x\in \mathbb{R}^ n\).
reviewed by: Yingguang Shi
Mathematics Subject Classification ID: 41A45
zbMATH DE Number: 575572
zbMATH Keywords: Plücker-Graßmann coordinates
zbMATH Keywords: metric projection
author: Martina Finzel
MaRDI profile type: Publication
full work available at URL: jath.1994.1021
OpenAlex ID: W2052618609
DOI: 10.1006/JATH.1994.1021
description: scientific article; zbMATH DE number 575572