Affiliation:
1. Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USA
2. IMAG-UJF, France
Abstract
A nonlinear equation on a Banach space is written as a linear equation with a linear operator depending on the unknown solution. Inverting this linear operator by one of the known methods, one obtains an equation which, in some cases, is much better for the numerical solution than the original equation. Some theorems about convergence of an iterative process for solving the transformed equation are proved. Examples of applications are given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation
Cited by
2 articles.
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1. References;Dynamical Systems Method and Applications;2012-01-10
2. Dynamical systems method for solving operator equations;Communications in Nonlinear Science and Numerical Simulation;2004-08