Refinement Methods of Newton Type for Approximate Eigenelements of Integral Operators

DOI10.1137/0723010zbMath0627.65063OpenAlexW2054007372MaRDI QIDQ3763494

Mauricio Telias, Mario Ahues

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723010

zbMATH Keywords

numerical exampleseigenvalue problemerror boundsConvergenceBanach spaceNewton methodcomparison of iterative methodslinear compact operatorrefinement methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Eigenvalue problems for integral equations (45C05)

Related Items (8)

A refinement method for maximal deflating bases of regular pencils ⋮ A variant of the fixed tangent method for spectral computations on integral operators ⋮ Accelerated spectral refinement Part II: Cluster of eigenvalues ⋮ A note on refining eigenelements of symmetric matrices ⋮ Spectral refinements of Newton type for eigenelements of bounded linear operators ⋮ A fixed point technique to refine a simple approximate eigenvalue and a corresponding eigenvector ⋮ Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced Resolvents ⋮ Rayleigh-schrödinger series for defective spectral elements of compact operators in banach spaces

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