Bilateral analog of the Newton method for determination of eigenvalues of nonlinear spectral problems

Author:

Podlevs’kyi B. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference21 articles.

1. M. M. Vainberg and V. A. Trenogin, The Theory of Branching of Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1969).

2. N. N. Kalitkin, “Solutions of problems on eigenvalues by the method of complemented vector,” Zh. Vych. Mat. Mat. Fiz., 5, No. 6, 1107–1115 (1965).

3. S. V. Kartyshov, “A numerical method of solution of a on eigenvalues with nonlinear entry of a spectral parameter for sparse matrices,” Zh. Vych. Mat. Mat. Fiz., 29, No. 12, 1898–1903 (1989).

4. T. Ya. Kon’kova, V. N. Kublanovskaya, and L. P. Savinova, “On the solution of a nonlinear spectral problem for a matrix,” Zap. Nauch. Semin. LOMI AN SSSR, 58, 54–66 (1976).

5. B. M. Podlevs’kyi, Methods of Bilateral Approximations for the Solution of Nonlinear Equations [in Ukrainian], Preprint 2-01, Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the Ukrainian Academy of Sciences, Lviv (2001).

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