Inexact quasi-Newton global convergent method for solving constrained nonsmooth equations
Résumé
In this work we introduce a new method for solving nonsmooth equations with simple constraints. The method is based on the inexact and quasi-Newton approaches with backtracking strategy. Some conditions are given that ensure global superlinear convergence to a solution of the equation. Moreover, we propose a nonmonotone scheme of algorithm. Both versions of algorithm was constructed for the Lipschitz constinuous equations.
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