Geodesic
An eigenvalue problem for a symmetric Toeplitz matrix
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 4, pp. 403-407 
Yu. I. Kuznetsov. An eigenvalue problem for a symmetric Toeplitz matrix. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 4, pp. 403-407. http://geodesic.mathdoc.fr/item/SJVM_2009_12_4_a3/
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     author = {Yu. I. Kuznetsov},
     title = {An eigenvalue problem for a~symmetric {Toeplitz} matrix},
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     pages = {403--407},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2009_12_4_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An algorithm is developed which determines eigenvalues for a symmetric Toeplitz matrix. To this end, we substantiate the generality of eigenvalues problems for a symmetric Toeplitz matrix and for a persymmetric Hankel one. The latter is reduced to an eigenvalue problem for a persymmetric Jacobi matrix. In the even order case, the problem reduces to a Jacobi matrix with halved order.

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