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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Sumario: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.