Rayleigh-schrödinger series for defective spectral elements of compact operators in banach spaces

DOI10.1080/01630569108816407zbMath0733.65035OpenAlexW1605394531MaRDI QIDQ5896601

Alain Largillier, Mario Ahues

Publication date: 1991

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569108816407

zbMATH Keywords

comparison of methodsnumerical experimentsdefective eigenvaluesNewton-type methodscompact integral operatorsRayleigh-Schrödinger series

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Eigenvalue problems for linear operators (47A75) Integral operators (47G10) Numerical solutions to equations with linear operators (65J10) Eigenvalue problems for integral equations (45C05)

Related Items (2)

Accelerated spectral refinement Part II: Cluster of eigenvalues ⋮ Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced Resolvents

Cites Work

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• The Use of Defect Correction to Refine the Eigenelements of Compact Integral Operators
• Solution of a Schrödinger equation by iterative refinement
• Refinement Methods of Newton Type for Approximate Eigenelements of Integral Operators
• A class of strongly stable operator approximations
• A fixed point technique to refine a simple approximate eigenvalue and a corresponding eigenvector
• A Hessenberg-Schur method for the problem AX + XB= C

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