Abstract
When the Bazley-Fox method is used in the standard form, complicated transcendental equations have to be solved in order to obtain a lower bound for the eigenvalues of a self-adjoint positive definite operator A with a discrete spectrum. While, to avoid this difficulty, Bazley and Fox supplemented their method with several devices, it turned out that the devices do not provide good convergence in certain important classes of problem. The present paper offers a new means of simplifying the approximate equations, to which the Bazley-Fox method leads. It reduces finding lower bounds for the eigenvalues of the operator A to a problem of linear algebra, and has good velocity characteristics.
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