Methods of Bilateral Approximations for Nonlinear Eigenvalue Problems
Bohdan Podlevskyi *
Pidstryhach Institute of Applied Problems for Mechanics and Mathematics, NAS, Lviv, Ukraine.
*Author to whom correspondence should be addressed.
Abstract
In this article, the research proposed by the author, the approach to the construction of methods and algorithms of bilateral approximations to the eigenvalues of nonlinear spectral problems, is continued. On the basis of Newton's method, some new algorithms of the bilateral approximations to their eigenvalues are constructed and substantiated.
Keywords: Nonlinear eigenvalue problem, numerical algorithm, matrix determinant derivatives, bilateral approximations, alternating approximations, including approximation