Generalized trace pseudo-spectrum of matrix pencils

ABSTRACT The objective of the study was to investigate a new notion of generalized trace pseudo-spectrum for an matrix pencils. In particular, we prove many new interesting properties of the generalized trace pseudo-spectrum. In addition, we show an analogue of the spectral mapping theorem for the g...

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Autores principales: Ammar,Aymen, Jeribi,Aref, Mahfoudhi,Kamel
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200065
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spelling oai:scielo:S0719-064620190002000652019-10-11Generalized trace pseudo-spectrum of matrix pencilsAmmar,AymenJeribi,ArefMahfoudhi,Kamel pseudo-spectrum condition pseudo-spectrum trace pseudo-spectrum ABSTRACT The objective of the study was to investigate a new notion of generalized trace pseudo-spectrum for an matrix pencils. In particular, we prove many new interesting properties of the generalized trace pseudo-spectrum. In addition, we show an analogue of the spectral mapping theorem for the generalized trace pseudo-spectrum in the matrix algebra.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.2 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200065en10.4067/S0719-06462019000200065
institution Scielo Chile
collection Scielo Chile
language English
topic pseudo-spectrum
condition pseudo-spectrum
trace pseudo-spectrum
spellingShingle pseudo-spectrum
condition pseudo-spectrum
trace pseudo-spectrum
Ammar,Aymen
Jeribi,Aref
Mahfoudhi,Kamel
Generalized trace pseudo-spectrum of matrix pencils
description ABSTRACT The objective of the study was to investigate a new notion of generalized trace pseudo-spectrum for an matrix pencils. In particular, we prove many new interesting properties of the generalized trace pseudo-spectrum. In addition, we show an analogue of the spectral mapping theorem for the generalized trace pseudo-spectrum in the matrix algebra.
author Ammar,Aymen
Jeribi,Aref
Mahfoudhi,Kamel
author_facet Ammar,Aymen
Jeribi,Aref
Mahfoudhi,Kamel
author_sort Ammar,Aymen
title Generalized trace pseudo-spectrum of matrix pencils
title_short Generalized trace pseudo-spectrum of matrix pencils
title_full Generalized trace pseudo-spectrum of matrix pencils
title_fullStr Generalized trace pseudo-spectrum of matrix pencils
title_full_unstemmed Generalized trace pseudo-spectrum of matrix pencils
title_sort generalized trace pseudo-spectrum of matrix pencils
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200065
work_keys_str_mv AT ammaraymen generalizedtracepseudospectrumofmatrixpencils
AT jeribiaref generalizedtracepseudospectrumofmatrixpencils
AT mahfoudhikamel generalizedtracepseudospectrumofmatrixpencils
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