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Application of Linear Prediction for Extrapolating Recursion Coefficients

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The Recursion Method and Its Applications

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 58))

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Abstract

The linear prediction theory is used to extrapolate the recursion coefficients and to calculate band limits. The coefficients of the continued fraction are written as sums of complex exponential s. The exponential decays and amplitudes are obtained by a least square fit of the first known coefficients. Application is made to bulk Silicon s and p electronic densities of states. The agreement with an exact one obtained by integration over the Brillouin zone is very good.

Laboratoire associé au Centre National de la Recherche Scientifique.

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References

  1. See the paper of V. Heine in this volume

    Google Scholar 

  2. See the papers in this volume dealing with the asymptotic behaviour of the recursion coefficients and the continued fraction termination

    Google Scholar 

  3. J. Makhoul, Proc IEEE 63, 561 (1975)

    Google Scholar 

  4. R. Haydock, V. Heine, M.J. Kelly, J.Phys. C 5, 2845 (1972)

    Google Scholar 

  5. J.P. Gaspard, F. Cyrot-Lackmann, J.Phys.C 6, 3077 (1973)

    Google Scholar 

  6. D.M. Bylander, J.J. Rehr, J.Phys. C 13, 4157 (1980)

    Google Scholar 

  7. P. Turchi, F. Ducastelle, G. Treglia, J.Phys.C 15, 2891 (1981)

    Article  ADS  Google Scholar 

  8. C.L. Hodges, J.Physique 38, 187 (1977)

    Google Scholar 

  9. A. Trias, M. Kiwi, M. Weissmann, Phys.Rev. B28, 1859 (1983)

    Google Scholar 

  10. J. Rath, A.J. Freeman, Phys.Rev. B11, 2109 (1975)

    Google Scholar 

  11. M.S. Methfessel, M.H. Boon, F.M. Mueller, J.Phys. C 16, L949 (1983)

    Article  ADS  Google Scholar 

  12. G. Allan, J. Phys. C 17, 3945 (1984)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Laboratoire de physique des solides, Institut Supérieur d’Electronique du Nord, 3, Rue Francois Baës, F-59046, Lille Cédex, France

    G. Allan

Authors
  1. G. Allan
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Editor information

D. G. Pettifor D. L. Weaire

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© 1987 Springer-Verlag Berlin Heidelberg

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Allan, G. (1987). Application of Linear Prediction for Extrapolating Recursion Coefficients. In: Pettifor, D.G., Weaire, D.L. (eds) The Recursion Method and Its Applications. Springer Series in Solid-State Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82444-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-82444-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82446-3

  • Online ISBN: 978-3-642-82444-9

  • eBook Packages: Springer Book Archive

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