Skip to main content
Log in

Interval Householder Method for Complex Linear Systems

  • Published:
Reliable Computing

Abstract

We consider interval Householder method for outer estimation of solution sets for interval linear algebraic systems with complex interval parameters. A numerical example is presented showing that interval Householder method may work better than interval Gaussian algorithm.

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

Access this article

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. Alefeld, G. and Herzberger, J.: Introduction to Interval Computations, Academic Press, New York, 1983.

    Google Scholar 

  2. Bakhvalov, N. S., Zhidkov, N. P., and Kobelkov, G. M.: Numerical Methods, Nauka, Moscow, 2002 (in Russian).

    Google Scholar 

  3. Bentbib, A. H.: Solving the Full Rank Interval Least Squares Problem, Applied Numerical Mathematics 41 (2002), pp. 283–294.

    Article  MATH  MathSciNet  Google Scholar 

  4. Kalitkin, N. N.: Numerical Methods, Nauka, Moscow, 1975 (in Russian).

    Google Scholar 

  5. Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bakyt S. Djanybekov.

Additional information

This paper was presented at IMCP'04 workshop (see Reliable Computing 11 (5) (2005)).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Djanybekov, B.S. Interval Householder Method for Complex Linear Systems. Reliable Comput 12, 35–43 (2006). https://doi.org/10.1007/s11155-006-2968-5

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11155-006-2968-5

Keywords

Navigation