An upper and a lower bound for the distance of a manifold to a nearby point
type: Item
instance of: scholarly article
title: An upper and a lower bound for the distance of a manifold to a nearby point
zbMATH Open document ID: 0708.65051
DOI: 10.1016/0022-247X(90)90210-7
author: M. H. C. Paardekooper
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The author uses a generalization of the Newton-Kantorovich theorem for underdetermined systems in Hilbert spaces to give upper and lower bounds for the distance of a point, say 0, to a nearby manifold \(S=\{x\in X\mid f(x)=0\}\). An example is shown.
Mathematics Subject Classification ID: 65J05
Mathematics Subject Classification ID: 46C05
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 4164041
zbMATH Keywords: Newton-Kantorovich theorem
zbMATH Keywords: underdetermined systems
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: upper and lower bounds
zbMATH Keywords: distance
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: Q3858773
cites work: Q5637487
description: scientific article; zbMATH DE number 4164041