Spectral and pseudospectral study of certain finite matrices.
Spectral and pseudospectral study of certain finite matrices.
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Date
2021-12-02
Auteurs
KRIM Ismaiel
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Éditeur
Université Oran1 Ahmed Ben Bella
Résumé
In this thesis we study the roots and square roots of some matrices like tridiagonal Toeplitz matrix, circulant matrices, triangular Toeplitz matrices. We are interested to present an explicit formula to nd square roots and comparison of the pseudospectra of the matrix and its square root. We will show that these square roots have the form of a persymmetric matrix with examples to illustrate.
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Mots-clés
Toeplitz Matrix, Tridiagonal Toeplitz Matrix, Triangular Toeplitz Matrices, Pseudospectra, Circulant Matrix, Square Roots, Eigenvalues, Eigenvectors, Spectre, Nor-Mal Matrix