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.
Similar content being viewed by others
References
Alefeld, G. and Herzberger, J.: Introduction to Interval Computations, Academic Press, New York, 1983.
Bakhvalov, N. S., Zhidkov, N. P., and Kobelkov, G. M.: Numerical Methods, Nauka, Moscow, 2002 (in Russian).
Bentbib, A. H.: Solving the Full Rank Interval Least Squares Problem, Applied Numerical Mathematics 41 (2002), pp. 283–294.
Kalitkin, N. N.: Numerical Methods, Nauka, Moscow, 1975 (in Russian).
Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was presented at IMCP'04 workshop (see Reliable Computing 11 (5) (2005)).
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11155-006-2968-5