Iterative refinement for approximate eigenelements of compact operators

Mario Ahuès; Filomena d'Almeida; Mauricio Telias

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1984)

  • Volume: 18, Issue: 2, page 125-135
  • ISSN: 0764-583X

How to cite

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Ahuès, Mario, d'Almeida, Filomena, and Telias, Mauricio. "Iterative refinement for approximate eigenelements of compact operators." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 18.2 (1984): 125-135. <http://eudml.org/doc/193427>.

@article{Ahuès1984,
author = {Ahuès, Mario, d'Almeida, Filomena, Telias, Mauricio},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {iterative refinement; eigenelements; compact linear operator; Banach space; Convergence; Numerical comparisons; compact integral operator; Fredholm's},
language = {eng},
number = {2},
pages = {125-135},
publisher = {Dunod},
title = {Iterative refinement for approximate eigenelements of compact operators},
url = {http://eudml.org/doc/193427},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Ahuès, Mario
AU - d'Almeida, Filomena
AU - Telias, Mauricio
TI - Iterative refinement for approximate eigenelements of compact operators
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1984
PB - Dunod
VL - 18
IS - 2
SP - 125
EP - 135
LA - eng
KW - iterative refinement; eigenelements; compact linear operator; Banach space; Convergence; Numerical comparisons; compact integral operator; Fredholm's
UR - http://eudml.org/doc/193427
ER -

References

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  1. 1. M. AHUÉS, F. D'ALMEIDA and M. TELIAS, 1982a, On the Defect Correction Method with Applications to Iterative Refinement Techniques. Rapport de Recherche IMAG N° 324, USMG, Grenoble. Zbl0502.65077
  2. 2. M. AHUÉS, F. D'ALMEIDA and M. TELIAS, 1982b, Two Defect Correction Methods for the Eigenvalue Problem of Compact Operators in Banach Spaces. Submitted to Journal of Intégral Equations. Zbl0502.65077
  3. 3. M. AHUÉS, F. CHATELIN, F. D'ALMEIDA and M. TELIAS, 1983, Itérative Refinement Techniques for the Eigenvalue Problem of Compact Intégral Operators. Durham Symposium on Treatment of Integral Equations by Numerical Methods. C. H. T.Baker and G. F. Miller Eds. Academic Press, London. Zbl0502.65077MR716134
  4. 4. M. AHUÉS and M. TELIAS, 1982, Quasi-Newton Itérative Refinement Techniquesforthe Eigenvalue Problem of Compact Linear Operators. Rapport de RechercheIMAG N° 325, USMG, Grenoble. 
  5. 5. K. E. ATKINSON, 1973, Iterative Variants of the Nyström Method for the Numerical Solution of Intégral Equations. Numer. Math. 22, pp. 17-31. Zbl0267.65089MR337038
  6. 6. H. BRAKHAGE, 1960, Uber die numerische Behandlung von Integralgleichungen nach der Quadra turforme Imethode. Numer. Math. 2, pp. 183-196. Zbl0142.11903MR129147
  7. 7. F. CHATELIN, 1983, Spectral Approximation of Linear Operators. Academic Press,New York (to appear). Zbl0517.65036MR716134
  8. 8. T. KATO, 1976, Perturbation Theory for Linear Operators. Springer Verlag, Berlin,New York. Zbl0342.47009MR407617
  9. 9. Lin QUN, 1982, Itérative Refinement of Finit e Element Approximations for EllipticProblems. RAIRO Numer. Anal. 16, pp. 39-47. Zbl0481.65064MR648744
  10. 10. H. STETTER, 1978, The Defect Correction Principle and Discretization Methods.Numer. Math. 29, pp. 425-443. Zbl0362.65052MR474803

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