B. M. Podlevskyi, “Numerical Methods and Algorithms for Solving Generalized Spectral Problems,” Ph.D. Thesis, Institute of Mathematics of NASU, Kyiv, 2011.
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.