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  4. Recurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrix
 
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Recurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrix

Citation Link: https://doi.org/10.15480/882.137
Publikationstyp
Working Paper
Publikationsdatum
2003-11
Sprache
English
Author
Kostić, Aleksandra 
Voß, Heinrich 
Institut
Mathematik E-10 
DOI
10.15480/882.137
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/139
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
First published in
Preprints des Institutes für Mathematik 
Number in series
68
In a recent paper [10] Melman proved an even–odd factorization of the characteristic polynomial of a symmetric Toeplitz matrix T on which a symmetry exploiting method for computing the smallest eigenvalue of T can be based. In this note we present a proof of the factorization which is less technical and more transparent.
Schlagworte
eigenvalue
Toeplitz matrix
factorization
DDC Class
510: Mathematik
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