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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
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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