Publication Info
- Title:
- An Exponentially Convergent Method for Nonlinear Operator Equations: Two-Sided Approximations and Global Convergence
- Type:
- Article
- Status:
- Published
- Journal:
- Computer Sciences and Telecommunications, no. 4 (2009): 31–53
Abstract
We propose a new analytical-numerical method for solving nonlinear operator and differential operator equations. The method possesses the exponential convergence rate and can provide two-sided approximations. The user can control the exponential convergence through an embedded control mechanism, i.e. one can arrive the exponential convergence independent of the value of the Lipschitz constant. The numerical examples confirm the theoretical results.