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M(λ)-computation for singular differential systems

Published online by Cambridge University Press:  14 November 2011

Hans G. Kaper  and
Allan M. Krall
Hans G. Kaper
Affiliation:
Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439–4844, U.S.A.
Allan M. Krall
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, U.S.A.
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Synopsis

Depending upon the initial data associated with the fundamental matrix, the function M(λ), used to generate L2-solutions of homogeneous linear differential systems, may vary. We show that there is a matrix bilinear transformation between such functions M(λ) with different initial data and illustrate how the result can be used to simplify the calculation of a specific M(λ)-function for a scalar second-order problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 3-4 , 1989 , pp. 327 - 330
Copyright
Copyright © Royal Society of Edinburgh 1989

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References

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