Geodesic
Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1835-1838 Cet article a éte moissonné depuis la source Math-Net.Ru

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Certain techniques that can be used for accelerating the calculation of the eigenvalues of normal Toeplitz matrices are described. The run times of the standard Matlab procedure eig with and without the use of these techniques are compared. 
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     title = {Some acceleration techniques for calculating the eigenvalues of normal {Toeplitz} matrices},
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A. K. Abdikalykov; Kh. D. Ikramov; V. N. Chugunov. Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1835-1838. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a0/

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[2] Ikramov X. D., “Ob unitarnom podobii ermitovykh teplitsevykh matrits veschestvennym $(T+H)$-matritsam”, Zh. vychisl. matem. i matem. fiz., 34:2 (1994), 301–305

[3] Wilkes V. M., Morgera S. V., Noor F., Hayes M. H., “A Hermitian Toeplitz matrix is unitary similar to a real Toeplitz-plus-Hankel matrix”, IEEE Trans. Signal Processing, 39:9 (1991), 2146–2148 | DOI

[4] Voevodin V. V., Tyrtyshnikov E. E., Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1987