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. 
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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