A nonmonotone line search technique for Newton's method
SIAM Journal on Numerical Analysis
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
Inexact Newton methods for solving nonsmooth equations
Proceedings of the international meeting on Linear/nonlinear iterative methods and verification of solution
Quasi-inexact-Newton methods with global convergence for solving constrained nonlinear systems
Nonlinear Analysis: Theory, Methods & Applications
On Characterizations of P- and P0-Properties in Nonsmooth Functions
Mathematics of Operations Research
Inexact quasi–Newton methods for sparse systems of nonlinear equations
Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization
Globally convergent inexact generalized Newton's methods for nonsmooth equations
Journal of Computational and Applied Mathematics
Convergence of an inexact generalized Newton method with a scaled residual control
Computers & Mathematics with Applications
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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. We also propose a nonmonotone algorithm scheme. Both versions of the algorithm were constructed for Lipschitz continuous equations.