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Information × Registration Number 0212U007459, 0112U004336 , R & D reports Title Development of methods for solving nonlinear spectral problems and use of operator interpolation in functional integration. popup.stage_title Head Makarov, V., Registration Date 27-12-2012 Organization Institute of mathematics NAS of Ukraine popup.description2 A variational problem of functional minimization is assigned to a given non-linear multiparametric spectral problem in a real abstract Hilbert space. The equivalence of the spectral and the variational problems in question is proved. A numerical algorithm for finding the latter's eigenvalues and eigenvectors is proposed based on the modified Newton's method. Methods for computing eigenvalues as roots of the characteristic equation without finding the equation's coefficients are developed and proven. The method is tested on specific problems. Product Description popup.authors Б. М. Подлевський В. В. Хлобистов В. Л. Макаров Л. М. Шлепаков popup.nrat_date 2020-04-02 Close