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B. M. Podlevskyi, “On Certain Two-Sided Analogues of Newton’s Method for Solving Nonlinear Eigenvalue Problems,” Comput. Math. Math. Phys., Vol. 47, No.11, 2007, pp. 1745-1755. doi:10.1134/S0965542507110024

has been cited by the following article:

• TITLE: One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems

  AUTHORS: Bohdan Mykhajlovych Podlevskyi

  KEYWORDS: Nonlinear Eigenvalue Problem; Derivatives of Matrix Determinant; Numerical Algorithm of Alternate Approximations

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.2, June 21, 2012

  ABSTRACT: In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the convergence of iterative processes, are obtained.