Generalized trace pseudo-spectrum of matrix pencils

  • 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.
Keywords: 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.

References

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Published
2019-10-16
How to Cite
Ammar, A., Jeribi, A., & Mahfoudhi, K. (2019). Generalized trace pseudo-spectrum of matrix pencils. CUBO, A Mathematical Journal, 21(2), 65–76. https://doi.org/10.4067/S0719-06462019000200065