Skip to main content
SpringerLink
Log in

Linear extrapolation in iterative methods

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

The application of extrapolation methods in an iterative process of general type is investigated. It is shown that extrapolation methods are obtained by two successive approximations from the formula defining an iterative process. The first approximation gives the general formula for extrapolation methods, while particular examples are obtained from this formula by introducing different approximations for the operator defining the iterative process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Pulay, Adv. Chem. Phys. 69 (1987) 241.

    Google Scholar 

  2. R.J. Bartlett, Ann. Rev. Phys. Chem. 32 (1981) 359.

    Google Scholar 

  3. A. Mitin, Zh. Vitchislit. Matem. i Matem. Fiz. 25 (1985) 325.

    Google Scholar 

  4. C. Lanczos, J. Math. Phys. 17 (1938/1939) 123.

    Google Scholar 

  5. D.K. Faddeev and V.N. Faddeeva,Computational Methods of Linear Algebra (Freeman, San Francisco/London, 1963).

    Google Scholar 

  6. J.H. Wilkinson,The Algebraic Eigenvalue Problem (Clarendon, Oxford, 1988).

    Google Scholar 

  7. A. Aitken, Proc. Roy. Soc. Edinb. A57 (1937) 269.

    Google Scholar 

  8. G.A. Baker, Jr.,Essentials of Padé Approximants (Academic Press, New York, 1975).

    Google Scholar 

Download references

Author information

Author notes

  1. Alexander V. Mitin

    Present address: Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya u1.13/19, 127412, Moscow, Russia

Authors and Affiliations

  1. Bergische Universität-Gesamthochschule Wuppertal, Fachbereich 9 Theoretische Chemie, Gaußstraße 20, D-42097, Wuppertal, Germany

    Alexander V. Mitin & Gerhard Hirsch

Authors
  1. Alexander V. Mitin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gerhard Hirsch
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Alexander von Humboldt fellow.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitin, A.V., Hirsch, G. Linear extrapolation in iterative methods. J Math Chem 15, 109–113 (1994). https://doi.org/10.1007/BF01277552

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01277552

Keywords

Search

Navigation