Numerical Method for Eigen Pairs of a Real Valued Symmetric Matrix


The Transactions of the Korea Information Processing Society (1994 ~ 2000), Vol. 5, No. 1, pp. 97-102, Jan. 1998
10.3745/KIPSTE.1998.5.1.97,   PDF Download:

Abstract

In the most cases of eigen value problems in the social sciences, the object matrix to analyze is real-valued symmetric matrix. And many cased if eigen value problems in this field needs 2-4 eigen pairs according to the magnitude of their absolute values. The methods to obtain eigen paris by numerical computation using computer, we would face the problem of round off error because matrix computation needs a number of calculations. In this paper, an algorithm which make us to get some needed eigen pairs according to the magnitude of their absolute values is designed. And in this algorithm, the power method in used to obtain come eigen pairs. This algorithm is expected to be effective by the reduction of the number of calculations.


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Cite this article
[IEEE Style]
C. Seong, C. Y. Sik, B. C. Ho, "Numerical Method for Eigen Pairs of a Real Valued Symmetric Matrix," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 5, no. 1, pp. 97-102, 1998. DOI: 10.3745/KIPSTE.1998.5.1.97.

[ACM Style]
Choi Seong, Cho Young Sik, and Baek Cheong Ho. 1998. Numerical Method for Eigen Pairs of a Real Valued Symmetric Matrix. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 5, 1, (1998), 97-102. DOI: 10.3745/KIPSTE.1998.5.1.97.