Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter

DOI10.1016/j.laa.2018.05.004zbMath1391.15095arXiv1804.08140OpenAlexW2962815727MaRDI QIDQ1642011

George Fikioris

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1804.08140

zbMATH Keywords

eigenvalueseigenvectorsToeplitz matrixKac-Murdock-Szegö matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegő matrices with a complex parameter, Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter, Eigenvalue contour lines of Kac-Murdock-Szegő matrices with a complex parameter, Unified Bayesian theory of sparse linear regression with nuisance parameters, Zeros of Gaussian power series, Hardy spaces and determinantal point processes, On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries
• Polynomials with all zeros on the unit circle
• A remark on oscillatory matrices
• Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols
• Horseshoes in multidimensional scaling and local kernel methods
• Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• Introduction to large truncated Toeplitz matrices
• Spectral distribution of generalized Kac-Murdock-Szegö matrices
• Spectral Asymptotics in One-Dimensional Periodic Lattices with Geometric Interaction
• MATLAB Guide, Third Edition
• Spectral Evolution of a One-Parameter Extension of a Real Symmetric Toeplitz Matrix
• Numerical Solution of the Eigenvalue Problem for Symmetric Rationally Generated Toeplitz matrices
• Introduction to Orthogonal Transforms
• A Generalization of a Theorem of Bôcher
• Further decomposition of the Karhunen-Loève series representation of a stationary random process
• Eigenvalue-eigenvector structure of Schoenmakers-Coffey matrices via Toeplitz technology and applications