Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider the problem of solving constrained systems of nonlinear equations.  propose an algorithm based on a combination of Newton and conditional gradient methods, and establish its local convergence analysis. Our analysis is set up by using a majorant condition technique, allowing us to prove, in a unified way, convergence results for two large families of nonlinear functions. The first one includes functions whose derivative satisfies a Holder-like condition, and the second one consists of a substantial subclass of analytic functions. Some preliminary numerical experiments are reported.
['Max L. N. Goncalves', 'Jefferson G. Melo']
I am writing a research paper on a idea A Newton conditional gradient method for constrained nonlinear systems
[{"from": "human", "value": "I am writing a research paper on a idea A Newton conditional gradient method for constrained nonlinear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider the problem of solving constrained systems of nonlinear equations.  propose an algorithm based on a combination of Newton and conditional gradient methods, and establish its local convergence analysis. Our analysis is set up by using a majorant condition technique, allowing us to prove, in a unified way, convergence results for two large families of nonlinear functions. The first one includes functions whose derivative satisfies a Holder-like condition, and the second one consists of a substantial subclass of analytic functions. Some preliminary numerical experiments are reported."}]