Accelerated spectral approximation

DOI10.1090/S0025-5718-98-00980-6zbMath0902.47001MaRDI QIDQ4210950

Rafikul Alam, Rekha P. Kulkarni, Balmohan V. Limaye

Publication date: 10 September 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

eigenvectorspectral projectionintegral operatorspectral approximationproduct spacespectral subspaceeigenvalue of finite algebraic multiplicityhigher order spectral analysis

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Linear operator approximation theory (47A58) Numerical analysis in abstract spaces (65J99) Acceleration of convergence in numerical analysis (65B99)

Related Items (4)

A spectral collocation method for eigenvalue problems of compact integral operators ⋮ Accelerated spectral refinement Part II: Cluster of eigenvalues ⋮ Spectral refinements of Newton type for eigenelements of bounded linear operators ⋮ Perturbations of discrete spectra of holomorphic operator-valued functions

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Accelerated Spectral Analysis of Compact Operators
• Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the Thing
• Convergence Rates for Approximate Eigenvalues of Compact Integral Operators
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik
• On spectral approximation. Part 1. The problem of convergence

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