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On the eigenvectors for a class of matrices arising from quasi-derivatives

Published online by Cambridge University Press:  14 November 2011

M. S. P. Eastham
M. S. P. Eastham
Affiliation:
Chelsea College (University of London), London SW10 OUA
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Synopsis

Let A be a product of symmetric matrices, A = RQ, with R non-singular, and let v be an eigenvector of A. For certain R and Q, a convenient formula for the expression (R−1v)tv is obtained. This expression occurs in the diagonalization of A and, in the particular case where A is associated with the quasi-derivative formulation of higher-order differential equations, the expression occurs in the asymptotic theory of solutions of the differential equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 73 - 78
Copyright
Copyright © Royal Society of Edinburgh 1984

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