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The inverse eigenvalue problem for real symmetric Toeplitz matrices
Author(s):
H. J.
Landau
Journal:
J. Amer. Math. Soc.
7
(1994),
749-767.
MSC:
Primary 15A18;
Secondary 15A21, 15A60, 47B35
MathSciNet review:
1234570
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Abstract:
We show that every set of  real numbers is the set of eigenvalues of an  real symmetric Toeplitz matrix; the matrix has a certain additional regularity. The argument--based on the topological degree--is nonconstructive.
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Additional Information:
DOI:
10.1090/S0894-0347-1994-1234570-6
PII:
S0894-0347-1994-1234570-6
Keywords:
Toeplitz matrices,
inverse eigenvalue problem,
regular Toeplitz matrix
Copyright of article:
Copyright
1994,
American Mathematical Society
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