Abstract
We develop a general framework for perturbation analysis of matrix. More specifically, the C-determinant pseudospectrum \(\mathrm{Det}_{\varepsilon}^{C}(T)\) for an element in the matrix algebra \(\mathcal{M}_n(\mathbb{C})\) is studied. We also make several observations on the C-determinant pseudospectrum.
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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 7, pp. 3–11.
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Ammar, A., Jeribi, A. & Mahfoudhi, K. A New Spectral Approach in the Matrix Algebra: C-Determinant Pseudospectrum. Russ Math. 65, 1–7 (2021). https://doi.org/10.3103/S1066369X2107001X
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DOI: https://doi.org/10.3103/S1066369X2107001X