The asymptotical spectrum of Jacobi matrices

DOI10.1016/S0377-0427(77)80003-4zbMath0376.65016OpenAlexW1985304252MaRDI QIDQ1245556

Jesús Sánchez-Dehesa

Publication date: 1977

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(77)80003-4

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Iterative numerical methods for linear systems (65F10)

Related Items (9)

Computing the moments of the density of zeros for orthogonal polynomials ⋮ Alternative approaches to asymptotic behaviour of eigenvalues of some unbounded Jacobi matrices ⋮ On a general system of orthogonal \(q\)-polynomials ⋮ The eigenvalue density of rational Jacobi matrices. II ⋮ Lanczos method of tridiagonalization, Jacobi matrices and physics ⋮ The spectrum of Jacobi matrices in terms of its associated weight function ⋮ On the calculation of moments of the zero density of classical and semiclassical orthogonal polynomials ⋮ Distributions of zeros of discrete and continuous polynomials from their recurrence relation ⋮ Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

Cites Work

• On the conditions for a Hamiltonian matrix to have an eigenvalue density with some prescribed characteristics
• On the Monotonicity of Certain Riesz Means
• Construction of Gauss-Christoffel Quadrature Formulas
• The Dynamics of a Disordered Linear Chain
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