Smallest eigenvalues of Hankel matrices for exponential weights

DOI10.1016/J.JMAA.2004.01.032zbMath1056.15008OpenAlexW2079749571MaRDI QIDQ1827103

Yang Chen, Doron S. Lubinsky

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.032

zbMATH Keywords

asymptoticssmallest eigenvalueexponential weightsHankel matrics

Mathematics Subject Classification ID

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

Related Items (10)

Solving Hankel matrix approximation problem using semidefinite programming ⋮ The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight ⋮ The smallest eigenvalue of Hankel matrices ⋮ 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 ⋮ Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices ⋮ Smallest eigenvalue of large Hankel matrices at critical point: comparing conjecture with parallelised computation ⋮ The smallest eigenvalue of large Hankel matrices ⋮ Condition numbers of Hankel matrices for exponential weights ⋮ Infinite order cross-validated local polynomial regression

Cites Work

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• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Weighted approximation with varying weight
• Best approximation and interpolation of \((1+(ax)^2)^{-1}\) and its transforms.
• The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
• Small eigenvalues of large Hankel matrices: The indeterminate case
• Small eigenvalues of large Hankel matrices
• Small Eigenvalues of Large Hankel Matrices
• Orthogonal polynomials for exponential weights

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