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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Autor principal: Milaszewicz, J.P.
Formato: JOUR
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Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0029599X_v38_n1_p53_Milaszewicz
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_0029599X_v38_n1_p53_Milaszewicz2023-10-03T14:39:29Z On fixed point linear equations Milaszewicz, J.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, J.P.
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.
format JOUR
author Milaszewicz, J.P.
author_facet Milaszewicz, J.P.
author_sort Milaszewicz, J.P.
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
url http://hdl.handle.net/20.500.12110/paper_0029599X_v38_n1_p53_Milaszewicz
work_keys_str_mv AT milaszewiczjp onfixedpointlinearequations
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