Abstract
In this paper, we present a nonmonotone filter trust region method to attack the system of nonlinear equations. The system of nonlinear equations is transformed into a constrained nonlinear programming problem at each step: some equations are treated as constraints while the others act as objective functions. Compared with the traditional filter strategies, our algorithm is flexible to accept trail steps by means of the nonmonotone filter technique. Moreover, the restoration phase is not needed so that the scale of the calculation is decreased in a certain degree. Global convergence is proven under some suitable conditions. Numerical experiments also show the efficiency of the algorithm.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
