Volume 58, pp. 316-347, 2023.
Improved bisection eigenvalue method for band symmetric Toeplitz matrices
Yuli Eidelman and Iulian Haimovici
Abstract
We apply a general bisection eigenvalue algorithm, developed for
Hermitian matrices with quasiseparable representations, to the particular case
of real band symmetric Toeplitz matrices. We show that every band symmetric
Toeplitz matrix
Full Text (PDF) [426 KB], BibTeX , DOI: 10.1553/etna_vol58s316
Key words
Toeplitz, quasiseparable, banded matrices, eigenstructure, inequalities, Sturm with bisection
AMS subject classifications
15A18, 65F15, 65F50, 15A42, 65N25
Links to the cited ETNA articles
[10] | Vol. 44 (2015), pp. 342-366 Yuli Eidelman and Iulian Haimovici: The fast bisection eigenvalue method for Hermitian order one quasiseparable matrices and computations of norms |
ETNA articles which cite this article
Vol. 59 (2023), pp. 60-88 Yuli Eidelman and Iulian Haimovici: The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure |