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

Robert David Brown · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1988

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.

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