Determinantal representations for the \(\mathfrak{J}\) transformation
type: Item
instance of: scholarly article
title: Determinantal representations for the \(\mathfrak{J}\) transformation
zbMATH Open document ID: 0831.65002
published in: Numerische Mathematik
publication date: 1995-10-04T00:00:00Z
review text: The author studies the iterative \(\mathfrak I\) transformation [this is of similar generality as the \(E\)-algorithm of \textit{C. Brezinski}, Numer. Math. 35, 175-187 (1980; Zbl 0444.65001) and \textit{T. Håvie}, BIT 19, 204-213 (1979; Zbl 0404.65001)] and gives an explicit determinantal representation of this transformation. Also, \textit{K. J. Overholt's} process [BIT 5, 122-132 (1965; Zbl 0171.355)] is shown to be a special case of this transformation and its representation is given. Some numerical examples are discussed.
Mathematics Subject Classification ID: 65B05
zbMATH DE Number: 802470
zbMATH Keywords: \(\mathfrak I\) transformation
zbMATH Keywords: convergence acceleration
zbMATH Keywords: \(E\)-algorithm
zbMATH Keywords: numerical examples
author: Herbert H. H. Homeier
reviewed by: Antonio López-Carmona
MaRDI profile type: Publication
full work available at URL: s002110050145
OpenAlex ID: W2028135613
DOI: 10.1007/S002110050145
Recommended article: Determinants in Jordan matrix algebras
Recommended article: Determinantal representations and the Hermite matrix
Recommended article: Q4824457
Recommended article: Q4679736
Recommended article: Determinantal representation of \(\{i,j,k\}\) inverses and solution to linear systems
Recommended article: Q5254593
Recommended article: Q4841140
Recommended article: Jacobians of certain transformations of singular matrices
Recommended article: Q3781414
Recommended article: Jacobi matrices and transversality
description: scientific article; zbMATH DE number 802470