On fixed point linear equations

By means of successive partial substitutions it is possible to obtain new fixed point linear equations from old ones and it is interesting to determine how the spectral radius of the corresponding matrices varies. We prove that, when the original matrix is nonnegative, this variation is decreasing o...

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Detalles Bibliográficos
Autor principal: Milaszewicz, Juan Pedro
Publicado: 1982
Materias:
Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v38_n1_p53_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_0029599X_v38_n1_p53_Milaszewicz
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0029599X_v38_n1_p53_Milaszewicz
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spelling paper:paper_0029599X_v38_n1_p53_Milaszewicz2023-06-08T14:55:29Z On fixed point linear equations Milaszewicz, Juan Pedro Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14 By means of successive partial substitutions it is possible to obtain new fixed point linear equations from old ones and it is interesting to determine how the spectral radius of the corresponding matrices varies. We prove that, when the original matrix is nonnegative, this variation is decreasing or increasing, depending on whether the original matrix has its spectral radius smaller or greater than 1. We answer in this way a question posed by F. Robert in [5]. © 1981 Springer-Verlag. Fil:Milaszewicz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1982 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v38_n1_p53_Milaszewicz http://hdl.handle.net/20.500.12110/paper_0029599X_v38_n1_p53_Milaszewicz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14
spellingShingle Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14
Milaszewicz, Juan Pedro
On fixed point linear equations
topic_facet Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14
description By means of successive partial substitutions it is possible to obtain new fixed point linear equations from old ones and it is interesting to determine how the spectral radius of the corresponding matrices varies. We prove that, when the original matrix is nonnegative, this variation is decreasing or increasing, depending on whether the original matrix has its spectral radius smaller or greater than 1. We answer in this way a question posed by F. Robert in [5]. © 1981 Springer-Verlag.
author Milaszewicz, Juan Pedro
author_facet Milaszewicz, Juan Pedro
author_sort Milaszewicz, Juan Pedro
title On fixed point linear equations
title_short On fixed point linear equations
title_full On fixed point linear equations
title_fullStr On fixed point linear equations
title_full_unstemmed On fixed point linear equations
title_sort on fixed point linear equations
publishDate 1982
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v38_n1_p53_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_0029599X_v38_n1_p53_Milaszewicz
work_keys_str_mv AT milaszewiczjuanpedro onfixedpointlinearequations
_version_ 1768543218913247232

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