Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices

DOI10.1016/S0024-3795(99)00080-4zbMath0942.15006MaRDI QIDQ1124902

William F. Trench

Publication date: 29 November 1999

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

zbMATH Keywords

asymptotic distributioneigenvaluesspectrumToeplitz matrixgeneralized Kac-Murdock-Szegö matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

Absolute equal distribution of families of finite sets. ⋮ Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter ⋮ Asymptotic normality of residual density estimator in stationary and explosive autoregressive models ⋮ Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegő matrices with a complex parameter ⋮ Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries ⋮ Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Asymptotics of eigenvalues of symmetric Toeplitz band matrices ⋮ Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory ⋮ Generalized Toeplitz–Hankel matrices and their application to a layered electron gas ⋮ Spectral distribution of generalized Kac-Murdock-Szegö matrices

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