Abstract
The problem of computing approximate eigenvalues and eigen-functions of the problem △u = λu in R, u = 0 on B = ∂R, may be stated in terms of a parametric semi-infinite problem, the parameter of which has to be adapted in such a way that a certain (nonlinear and nondiffe-rentiable) function is minimized. Some numerical methods for achieving this minimization efficiently will be discussed.
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Hettich, R. (1985). On the computation of membrane-eigenvalues by semi-infinite programming methods. In: Anderson, E.J., Philpott, A.B. (eds) Infinite Programming. Lecture Notes in Economics and Mathematical Systems, vol 259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46564-2_7
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DOI: https://doi.org/10.1007/978-3-642-46564-2_7
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