Geodesic
A simple proof of the classification of normal Toeplitz matrices
The electronic journal of linear algebra, Tome 9 (2002), pp. 108-111.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: An easy proof to show that every complex normal Toeplitz matrix is classified as either of type I or of type II is given. Instead of difference equations on elements in the matrix used in past studies, polynomial equations with coefficients of elements are used. In a similar fashion, it is shown that a real normal Toeplitz matrix must be one of four types: symmetric, skew-symmetric, circulant, or skew-circulant. Here trigonometric polynomials in the complex case and algebraic polynomials in the real case are used.
Classification : 15A57, 47B15, 47B35
Keywords: normal matrices, Toeplitz matrices 
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     title = {A simple proof of the classification of normal {Toeplitz} matrices},
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Arimoto, Akio. A simple proof of the classification of normal Toeplitz matrices. The electronic journal of linear algebra, Tome 9 (2002), pp. 108-111. http://geodesic.mathdoc.fr/item/ELA_2002__9__a15/