Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
type: Item
instance of: scholarly article
title: Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
zbMATH Open document ID: 1018.65049
DOI: 10.1016/S0024-3795(01)00535-3
author: Reinhard Nabben
author: Hans Schneider
author: Daniel B. Szyld
author: Ludwig Elsner
author: Andreas Frommer
published in: Linear Algebra and its Applications
publication date: 2003-05-04T00:00:00Z
review text: New comparison theorems are presented for the spectral radii of matrices arising from splitting of different matrices under nonnegativity assumptions. Strict inequalities of the spectral radii are obtained without imposing strict inequalities of the matrices, and in addition new results are presented for nonstrict inequalities of the spectral radii. Combinatorical and analytic approaches are used and counter examples show that some conditions cannot be relaxed.
reviewed by: F. Szidarovszky
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 1903558
zbMATH Keywords: strict comparison theorems
zbMATH Keywords: combinatorial matrix theory
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: Perron-Frobenius theory
zbMATH Keywords: spectral radii
zbMATH Keywords: counter examples
MaRDI profile type: Publication
Wikidata QID: Q105580744
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description: scientific article; zbMATH DE number 1903558