Chebyshev polynomial iterations and approximate solutions of linear operator equations
type: Item
instance of: scholarly article
title: Chebyshev polynomial iterations and approximate solutions of linear operator equations
zbMATH Open document ID: 0814.41007
DOI: 10.4171/ZAA/484
author: A. P. Zabrejko
author: Peter P. Zabreĭko
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-05-30T00:00:00Z
review text: Summary: An iteration scheme for the approximate solution of a linear operator equation in a Banach space is discussed from the viewpoint of Chebyshev polynomials. The optimal rate of convergence is described by numerical characteristics which are similar to (but different from) the classical Chebyshev constants. The abstract results are illustrated by some examples which frequently arise in applications.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 704306
zbMATH Keywords: polynomial iterations
zbMATH Keywords: Chebyshev characteristics
zbMATH Keywords: Chebyshev polynomials
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 704306