Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

This paper is devoted to the asymptotic behavior of all eigenvalues of Symmetric (in general non Hermitian) Toeplitz matrices with moderately smooth symbols which trace out a simple loop on the complex plane line as the dimension of the matrices increases to infinity. The main result describes the asymptotic structure of all eigenvalues. The constructed expansion is uniform with respect to the number of eigenvalues. Keywords: Toeplitz matrices, eigenvalues, asymptotic expansions

• Publication year

  2019

• Venue

  Linear Algebra and its Applications

• Publication date

  2019-03-25

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1016/J.LAA.2019.06.017arXiv 1903.10551
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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