Distribution of eigenvalues of Toeplitz matrices with smooth entries

DOI10.1016/j.laa.2021.10.014zbMath1478.15043OpenAlexW3208648135MaRDI QIDQ2666920

Doron S. Lubinsky

Publication date: 23 November 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.10.014

zbMATH Keywords

eigenvalue distributionToeplitz matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fluctuations of eigenvalues for random Toeplitz and related matrices
• Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix
• Rows and diagonals of the Walsh array for entire functions with smooth Maclaurin series coefficients
• Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols
• Sequences of variable-coefficient Toeplitz matrices and their singular values
• Inertia characteristics of self-adjoint matrix polynomials
• Uniform convergence of rows of the Padé table for functions with smooth Maclaurin series coefficients
• Padé tables of entire functions of very slow and smooth growth. II
• Bounds for eigenvalues using traces
• Introduction to large truncated Toeplitz matrices
• The Fisher-Hartwig conjecture and Toeplitz eigenvalues
• Rogers-Ramanujan and the Baker-Gammel-Wills (Padé) conjecture
• The top eigenvalue of the random Toeplitz matrix and the sine kernel
• Spectral measure of large random Hankel, Markov and Toeplitz matrices
• Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
• Distribution of the zeros of Padé polynomials and analytic continuation
• Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function
• Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
• On the Baker-Gammel-Wills conjecture in the theory of Padé approximants
• Aspects of Toeplitz Determinants
• Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later
• Generalized Matrix Functions
• Hankel determinants and meromorphic functions

This page was built for publication: Distribution of eigenvalues of Toeplitz matrices with smooth entries