Geodesic
The inverse eigenvalue problem for real symmetric Toeplitz matrices
Journal of the American Mathematical Society, Tome 07 (1994) no. 3, pp. 749-767

Voir la notice de l'article provenant de la source American Mathematical Society

We show that every set of $n$ real numbers is the set of eigenvalues of an $n \times n$ real symmetric Toeplitz matrix; the matrix has a certain additional regularity. The argument—based on the topological degree—is nonconstructive. 
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Landau, H. J. The inverse eigenvalue problem for real symmetric Toeplitz matrices. Journal of the American Mathematical Society, Tome 07 (1994) no. 3, pp. 749-767. doi: 10.1090/S0894-0347-1994-1234570-6

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