Bilateral analog of the Newton method for determination of eigenvalues of nonlinear spectral problems |
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| Authors: | B M Podlevs’kyi |
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| Institution: | (1) Ya. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the Ukrainian Academy of Sciences, Lviv, Ukraine |
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| Abstract: | The iterative algorithm for determination of bilateral (alternating) approximations to the eigenvalues of nonlinear spectral
problems that uses a bilateral analog of the Newton method and a new efficient numerical procedure for calculation of the
Newton correction and its derivative is proposed.
Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 1, pp. 65–73, January–March, 2008. |
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