Variational approach to the solution of linear multiparameter eigenvalue problems |
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Authors: | B. M. Podlevs’kyi |
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Affiliation: | 1.Institute of Applied Problems in Mechanics and Mathematics,Ukrainian National Academy of Sciences,Lviv,Ukraine |
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Abstract: | We associate a multiparameter spectral problem in a real Euclidean space with a variational problem of finding a minimum of a certain functional. We establish the equivalence of the spectralproblem and the variational problem. On the basis of the gradient procedure, we propose a numerical algorithm for the determination of its eigenvalues and eigenvectors. The local convergence of the algorithm is proved. |
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