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Research Article Open access CC BY 4.0

Methods of Bilateral Approximations for Nonlinear Eigenvalue Problems

Bohdan Podlevskyi

Journal of Advances in Mathematics and Computer Science · pp. 1–20 · Published 26 Apr 2019

10.9734/jamcs/2019/v31i630131

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.

Nonlinear eigenvalue problem numerical algorithm matrix determinant derivatives bilateral approximations alternating approximations including approximation

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