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.