Perron-Frobenius theory over real closed fields and fractional power series expansions
type: Item
instance of: scholarly article
title: Perron-Frobenius theory over real closed fields and fractional power series expansions
zbMATH Open document ID: 0823.15020
DOI: 10.1016/0024-3795(94)00053-G
author: B. Curtis Eaves
author: Uriel G. Rothblum
author: Hans Schneider
published in: Linear Algebra and its Applications
publication date: 1995-11-13T00:00:00Z
review text: The authors extend some of the main results of Perron-Frobenius theory of square nonnegative matrices over the reals to matrices with elements in a real closed field and use these results to prove the existence of a fractional power series expansion for the Perron-Frobenius eigenvalue and the normalized eigenvector for real, square, nonnegative, irreducible matrices which are obtained by perturbing nonnegative matrices.
reviewed by: Shaokuan Li
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 769022
zbMATH Keywords: Perron-Frobenius theory
zbMATH Keywords: real closed field
zbMATH Keywords: fractional power series expansion
zbMATH Keywords: eigenvalue
zbMATH Keywords: normalized eigenvector
zbMATH Keywords: irreducible matrices
zbMATH Keywords: nonnegative matrices
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 769022