Geodesic
On the eigenvalues of certain classes of normal Toeplitz-plus-Hankel matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 5-12

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Certain classes of normal Toeplitz-plus-Hankel matrices whose eigenvalues can be computed as efficiently as those of circulants are indicated. 
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     author = {A. K. Abdikalykov and Kh. D. Ikramov},
     title = {On the eigenvalues of certain classes of normal {Toeplitz-plus-Hankel} matrices},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a0/}
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A. K. Abdikalykov; Kh. D. Ikramov. On the eigenvalues of certain classes of normal Toeplitz-plus-Hankel matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 5-12. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a0/