The smallest eigenvalue of Hankel matrices

DOI10.1007/s00365-010-9109-4zbMath1259.15024arXiv0906.4506OpenAlexW2041457725MaRDI QIDQ634655

Christian Berg, Ryszard Szwarc

Publication date: 16 August 2011

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4506

zbMATH Keywords

orthogonal polynomialssmallest eigenvalueHankel matricesmoment problemsStieltjes-Wigert polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities involving eigenvalues and eigenvectors (15A42) Moment problems (44A60) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (16)

Inverse of infinite Hankel moment matrices ⋮ Deficiency indices of block Jacobi matrices and Miura transformation ⋮ A few remarks on orthogonal polynomials ⋮ Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix ⋮ Self-adjoint operators associated with Hankel moment matrices ⋮ Closable Hankel operators and moment problems ⋮ Hankel determinants of random moment sequences ⋮ Smallest and largest generalized eigenvalues of large moment matrices and some applications ⋮ Methodology and theory for partial least squares applied to functional data ⋮ On the order of indeterminate moment problems ⋮ 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 ⋮ A question by T. S. Chihara about shell polynomials and indeterminate moment problems ⋮ Smallest eigenvalue of large Hankel matrices at critical point: comparing conjecture with parallelised computation ⋮ The smallest eigenvalue of large Hankel matrices ⋮ On the inversion of infinite moment matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fibonacci numbers and orthogonal polynomials
• Orthogonal polynomials and analytic functions associated to positive definite matrices
• Density questions in the classical theory of moments
• The classical moment problem as a self-adjoint finite difference operator
• The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
• Smallest eigenvalues of Hankel matrices for exponential weights
• The moment problem associated with the Stieltjes-Wigert polynomials
• A lower bound for orthogonal polynomials with an application to polynomial hypergroups
• Condition numbers of Hankel matrices for exponential weights
• Small eigenvalues of large Hankel matrices: The indeterminate case
• Small eigenvalues of large Hankel matrices
• The Index of Determinacy for Measures and the ℓ 2 -Norm of Orthonormal Polynomials
• Small Eigenvalues of Large Hankel Matrices
• Chain Sequences and Orthogonal Polynomials
• On Some Hermitian Forms Associated with Two Given Curves of the Complex Plane
• XIX.—On the Reciprocation of Certain Matrices

This page was built for publication: The smallest eigenvalue of Hankel matrices