Exponential decay of resolvents and discrete eigenfunctions of banded infinite matrices

DOI10.1016/0021-9045(91)90058-IzbMath0731.15006OpenAlexW2061697972MaRDI QIDQ807711

Dale T. Smith

Publication date: 1991

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90058-i

zbMATH Keywords

upper boundsdiscrete eigenvalueseigenfunctionresolventsbanded infinite matricesexponential decay of resolventsself-adjoint banded matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (2)

Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials ⋮ Localization in Matrix Computations: Theory and Applications

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• The attractive Coulomb potential polynomials
• On the asymptotic distribution of eigenvalues of banded matrices
• Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
• Schrödinger semigroups
• Decay Rates for Inverses of Band Matrices
• On the Generalized Chebyshev Polynomials
• The Hill determinant method in application to the sextic oscillator: limitations and improvement
• SO(2,1) Lie algebra, the Jacobi matrix and the scattering states of the Morse oscillator
• Dichotomies for Band Matrices
• Some Hypergeometric Orthogonal Polynomials
• Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. II
• Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. III
• Inverses of Band Matrices and Local Convergence of Spline Projections
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