2017
Том 69
№ 7

All Issues

Variational approach to the solution of linear multiparameter eigenvalue problems

Podlevs’kyi B. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 9, pp 1475-1486.

Citation Example: Podlevs’kyi B. M. Variational approach to the solution of linear multiparameter eigenvalue problems // Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1247-1256.

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