Inexact trust region method for large sparse systems of nonlinear equations (Q1331125)

The main purpose of the paper is to prove the global convergence of a new trust region method based on the smoothed CGS algorithm for the solution of a system of nonlinear equations. A modification of the proposed trust region method does not use matrices, so it can be used for large dense systems. Results of a comparative study of three trust region methods for large sparse systems of nonlinear equations are presented. All test results were obtained by means of 17 problems.