Eigenvalue contour lines of Kac-Murdock-Szegő matrices with a complex parameter

DOI10.1016/j.laa.2021.07.016zbMath1473.15032arXiv2104.11527OpenAlexW3184293233MaRDI QIDQ1979362

George Fikioris, Christos Papapanos

Publication date: 2 September 2021

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

Full work available at URL: https://arxiv.org/abs/2104.11527

zbMATH Keywords

eigenvaluesToeplitz matrixlevel curvescontour linesKac-Murdock-Szegő matrixcurve winding numbers

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Degree, winding number (55M25) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Uses Software

• DLMF

Cites Work

• Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries
• Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols
• Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter
• Eigenvalue bifurcations in Kac-Murdock-Szegő matrices with a complex parameter
• Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegő matrices with a complex parameter
• Plane Curves, Polar Coordinates and Winding Numbers
• Alexander numbering of knotted surface diagrams
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