| Authors | Zeinab Saeidian |
|---|---|
| Conference Title | 50th annual Iranian mathematics conference |
| Holding Date of Conference | 2019-08-26 |
| Presentation | SPEECH |
| Conference Level | International Conferences |
Abstract
In this paper, we propose a nomonotone adaptive trust region method for solving nonlinear systems of equalities.
This method combines an efficient nonmonotone technique with an adaptive
strategy based on the Esmaeili's adaptive technique. Becuase of the more efficiency, our new method is equiped by hybric scheme of adaptive and classic trust region method. This adaptive rule ensures us taht the size of the radius is not too large or too small. In order to decrese the number of function evaluation and the number of iterations, the trust region ratio is based on the efficient modification of the nonmonotone technique of Grippo. The global convergence of the new method is established under some standard assumptions.