The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight

DOI10.1002/MMA.5583zbMath1416.15033arXiv1803.11322OpenAlexW3099751998WikidataQ128183464 ScholiaQ128183464MaRDI QIDQ5223564

Charles C. Weems, Niall Emmart, Yang Chen, Mengkun Zhu

Publication date: 18 July 2019

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

Full work available at URL: https://arxiv.org/abs/1803.11322

zbMATH Keywords

asymptoticsorthogonal polynomialsrandom matrixsmallest eigenvalueHankel matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Hermitian, skew-Hermitian, and related matrices (15B57) Parallel numerical computation (65Y05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (6)

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight ⋮ The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight ⋮ The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight ⋮ Smallest eigenvalue of large Hankel matrices at critical point: comparing conjecture with parallelised computation ⋮ The smallest eigenvalue of large Hankel matrices

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