Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries

DOI10.4171/JST/29zbMath1258.15011OpenAlexW2048798484MaRDI QIDQ442469

J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky

Publication date: 11 August 2012

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/29

zbMATH Keywords

integral operatorcirculant matrixextreme eigenvaluesHermitian Toeplitz matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Eigenvalue problems for integral equations (45C05) Applications of operator theory in numerical analysis (47N40) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (8)

Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter ⋮ On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm ⋮ Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegő matrices with a complex parameter ⋮ Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries ⋮ Spectral asymptotics for a family of LCM matrices ⋮ Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter ⋮ Eigenvalue contour lines of Kac-Murdock-Szegő matrices with a complex parameter ⋮ Unbounded largest eigenvalue of large sample covariance matrices: asymptotics, fluctuations and applications

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