Generalized trace pseudo-spectrum of matrix pencils

Aymen  Ammar; Aref Jeribi; Kamel Mahfoudhi

doi:10.4067/S0719-06462019000200065

DOI:

https://doi.org/10.4067/S0719-06462019000200065

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.

Keywords

pseudo-spectrum , condition pseudo-spectrum , trace pseudo-spectrum

Aymen Ammar Department of Mathematics Faculty of Sciences of Sfax, University of Sfax Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia.
Aref Jeribi Department of Mathematics Faculty of Sciences of Sfax, University of Sfax Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia.
Kamel Mahfoudhi Department of Mathematics Faculty of Sciences of Sfax, University of Sfax Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia.

Pages: 65–76
Date Published: 2019-08-10
Vol. 21 No. 2 (2019)

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