Variational approach to the solution of linear multiparameter eigenvalue problems

  • B. M. Podlevs’kyi


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.
How to Cite
Podlevs’kyi, B. M. “Variational Approach to the Solution of Linear Multiparameter Eigenvalue Problems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 9, Sept. 2009, pp. 1247-56,
Research articles