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Journal of the American Mathematical Society

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ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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The inverse eigenvalue problem for real symmetric Toeplitz matrices
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by H. J. Landau
J. Amer. Math. Soc. 7 (1994), 749-767
DOI: https://doi.org/10.1090/S0894-0347-1994-1234570-6
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Abstract:

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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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 7 (1994), 749-767
  • MSC: Primary 15A18; Secondary 15A21, 15A60, 47B35
  • DOI: https://doi.org/10.1090/S0894-0347-1994-1234570-6
  • MathSciNet review: 1234570