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Convergence criteria for Aronszajn's method and for the Bazley-Fox method

Published online by Cambridge University Press:  14 November 2011

R. D. Brown
R. D. Brown
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045, U.S.A.
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Synopsis

Convergence criteria are derived for Aronszajn's method and for the Bazley-Fox C*C method applied to self-adjoint eigenvalue problems of the form Bx = λx. These criteria generalise previously used criteria and are seen to be, in a certain restricted sense, the best possible. The framework used is general enough to allow approximations where the intermediate problems are not finite dimensional perturbations of the base problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 91 - 108
Copyright
Copyright © Royal Society of Edinburgh 1988

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