Minimum relative error approximations for 1/t
type: Item
instance of: scholarly article
title: Minimum relative error approximations for 1/t
zbMATH Open document ID: 0658.65011
DOI: 10.1007/BF01396969
author: Ned Anderson
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133308
review text: There are papers which provoke many letters to the editors of a journal. This paper is a good candidate. Chebyshev and Bernstein provided formulas for the best uniform approximation of 1/t by polynomials. The analysis of the best relative approximation for a real interval is even simpler than that of the best absolute error. The results of the well known theory are the basis of the concept of semiiterative methods and are also crucial for understanding the good performance of conjugate gradient methods. Therefore, in that framework there are also many investigations of the approximation in more general regions in the complex plane.
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 4076436
zbMATH Keywords: minimum relative error approximations
zbMATH Keywords: best relative approximation
zbMATH Keywords: best absolute error
zbMATH Keywords: semiiterative methods
zbMATH Keywords: conjugate gradient methods
reviewed by: D. Braess
MaRDI profile type: Publication
cites work: Q5543516
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description: scientific article; zbMATH DE number 4076436