On a conjecture of Davies and Levitin

DOI10.1002/mma.8766zbMath1530.15008OpenAlexW4307299077MaRDI QIDQ6182985

Hasen Mekki Öztürk

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8766

zbMATH Keywords

eigenvaluesspectral theorylinear operator pencilsChebyshev polynomials of the second kindnonselfadjoint matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrix pencils (15A22)

Cites Work

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• Eigenvalues of a one-dimensional Dirac operator pencil
• Spectra of a class of non-self-adjoint matrices
• The Quadratic Eigenvalue Problem
• Non-Selfadjoint Operators in Quantum Physics
• Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory

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