The β maps: Strong clustering and distribution results on the complex unit circle

In the current work, we study the eigenvalue distribution results of a class of non-normal matrix-sequences which may be viewed as a low rank perturbation, depending on a parameter β>1, of the basic Toeplitz matrix-sequence {Tn(eiθ)}n∈N, i2=−1. The latter of which has obviously all eigenvalues eq...

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Bibliographic Details

Published in:	Linear algebra and its applications Vol. 697; pp. 365 - 383
Main Authors:	Schiavoni-Piazza, Alec J.A., Meadon, David, Serra-Capizzano, Stefano
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.09.2024
Subjects:	Beräkningsvetenskap med inriktning mot numerisk analys beta maps Eigenvalue clustering Scientific Computing with specialization in Numerical Analysis Toeplitz matrix and matrix-sequence β maps 30B10 37A30 Eigenvalue clustering 15B05 β maps Toeplitz matrix and matrix-sequence 37E05 15A18
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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