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Generalized determinant pseudo-spectrum of matrix pencils

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Abstract

This paper is devoted to the study of some new definition of pseudo-spectrum for a matrix pencils called generalized determinant pseudo-spectrum. Some properties of the generalized determinant pseudo-spectrum are investigated and some examples are also given. Finally, we show an analogue of the spectral mapping theorem for the generalized determinant pseudo-spectrum in the matrix algebra.

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Authors and Affiliations

  1. 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

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  1. Kamel Mahfoudhi
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Correspondence to Kamel Mahfoudhi.

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Mahfoudhi, K. Generalized determinant pseudo-spectrum of matrix pencils. J Anal 29, 163–176 (2021). https://doi.org/10.1007/s41478-020-00253-x

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  • DOI: https://doi.org/10.1007/s41478-020-00253-x

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