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The Simple Iterative Method Applied to a Matrix Which has a Dominant Double Real Eigenvalue

Published online by Cambridge University Press:  03 November 2016

D. J. Green
D. J. Green*
Affiliation:
Glamorgan College of Technology, Treforest, Glam
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Extract

Suppose A is an n × n matrix with real elements, and that λ = λ1 is a dominant double real eigenvalue. We will assume for simplicity that none of the order eigenvalues are repeated. Then there are two possibilities

  • (a) matrix is non-defective, and we can find two linearly independent eigenvectors corresponding to the double root λ1,

  • (b) matrix is defective, and we have only one linearly independent eigenvectors corresponding to the double root λ1.

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 368 , May 1965 , pp. 179 - 184
Copyright
Copyright © Mathematical Association 1965

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