Geodesic
A new spectral approach in the matrix algebra: $\mathrm{C}$-determinant pseudospectrum
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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We develop a general framework for perturbation analysis of matrix. More specifically, the $\mathrm{C}$-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 $\mathrm{C}$-determinant pseudospectrum.
Keywords: pseudospectrum, condition pseudospectrum, determinant pseudospectrum. 
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     title = {A new spectral approach in the matrix algebra: $\mathrm{C}$-determinant pseudospectrum},
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A. Ammar; A. Jeribi; K. Mahfoudhi. A new spectral approach in the matrix algebra: $\mathrm{C}$-determinant pseudospectrum. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2021_7_a0/

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