Determination of the cone radius for positive concave operators
type: Item
instance of: scholarly article
title: Determination of the cone radius for positive concave operators
zbMATH Open document ID: 0532.65038
DOI: 10.1007/BF02243074
author: Wolfgang Burmeister
author: Jochen W. Schmidt
published in: Computing
publication date: 1984-01-01T00:00:00Z
review text: The computation of best R-orders of sequences produced by iterative methods leads to the determination of the cone radius of certain concave operators. The main result of the paper is the representation of the cone radius as the infimum of spectral radii of all linear operators majorizing the concave operator. This characterization is of numerical interest.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 3844941
zbMATH Keywords: cone radius
zbMATH Keywords: positive concave operators
zbMATH Keywords: iterative processes
zbMATH Keywords: best R- orders
zbMATH Keywords: spectral radii, partial ordering
MaRDI profile type: Publication
cites work: Q5515694
cites work: Algebraic Perron-Frobenius theory
cites work: Q4767821
cites work: On the R-order of coupled sequences. II
cites work: On the R-order of coupled sequences. III
cites work: Q3327621
cites work: Topological proofs for certain theorems on matrices with non-negative elements
cites work: Q3238590
cites work: Q5786104
cites work: Frobenius Theory of Positive Operators: Comparison Theorems and Applications
cites work: Positive eigenvectors of k-set contractions
cites work: Generalizations of some theorems of positive matrices to completely continuous linear transformations on a normed linear space
cites work: On the convergence order of a modified method for simultaneous finding polynomial zeros
cites work: A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
cites work: Ableitungsfreie Verfahren ohne Auflösung linearer Gleichungen
cites work: Positive eigenvectors of order-preserving maps
cites work: Q5342712
description: scientific article; zbMATH DE number 3844941