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Nonsmooth Equations: Motivation and Algorithms
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Local convergence of quasi-Newton methods for B-differentiable equations
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A nonsmooth version of Newton's method
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Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
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Calcul sous-differentiel et optimisation
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Weak directional closedness and generalized subdifferentials
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Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
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Subgradient monotonicity and convex functions
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Strongly Stable Stationary Solutions in Nonlinear Programs
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Maximal monotone relations and the second derivatives of nonsmooth functions
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An Optimization Problem
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First- and Second-Order Epi-Differentiability in Nonlinear Programming
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Numerical Methods for Unconstrained Optimization and Nonlinear Equations
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Optimization and Nonsmooth Analysis
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Newton's Method for B-Differentiable Equations
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An Implicit-Function Theorem for a Class of Nonsmooth Functions
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Globally Convergent Newton Methods for Nonsmooth Equations
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Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
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Global Convergence of Damped Newton's Method for Nonsmooth Equations via the Path Search
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Iterative Solution of Nonlinear Equations in Several Variables
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A Hybrid Iterative Method for Elliptic Variational Inequalities of the Second Kind
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Minimization of SC1 functions and the Maratos effect
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Inexact Newton methods for solving nonsmooth equations
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Historical developments in convergence analysis for Newton’s and Newton-like methods
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Neural network models and its application for solving linear and quadratic programming problems
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On a Steffensen’s type method and its behavior for semismooth equations
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Improved smoothing Newton methods for nonlinear complementarity problems
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A system of nonsmooth equations solver based upon subgradient method
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The relaxed nonlinear PHSS-like iteration method for absolute value equations
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On the local convergence of a smoothing structured secant method for nonlinear complementarity
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Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations
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Optimization of a nonlinear area traffic control system with elastic demand
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Affine scaling inexact generalized Newton algorithm with interior backtracking technique for solving bound-constrained semismooth equations
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A smoothing Newton-type method for generalized nonlinear complementarity problem
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An improved Goldstein's type method for a class of variant variational inequalities
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Affine scaling interior Levenberg–Marquardt method for bound-constrained semismooth equations under local error bound conditions
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Numerical comparisons of two effective methods for mixed complementarity problems
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A monotone semismooth Newton type method for a class of complementarity problems
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A smoothing Broyden-like method with a nonmonotone derivative-free line search for nonlinear complementarity problems
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A locally convergent inexact projected Levenberg–Marquardt-type algorithm for large-scale constrained nonsmooth equations
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An inexact semismooth Newton SAA-based algorithm for stochastic nonsmooth SOC complementarity problems with application to a stochastic power flow programming problem
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A centered Newton method for nonlinear complementarity problem
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A variant Levenberg-Marquardt-type method for underdetermined nonsmooth equations
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A globally convergent method based on Fischer–Burmeister operators for solving second-order cone constrained variational inequality problems
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Convergence of an inexact generalized Newton method with a scaled residual control
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Inverse variational inequalities with projection-based solution methods
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Expected residual minimization formulation for a class of stochastic linear second-order cone complementarity problems
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Solving policy design problems: Alternating direction method of multipliers-based methods for structured inverse variational inequalities
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A hybrid fractional model for cervical cancer due to human papillomavirus infection
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A smoothed NR neural network for solving nonlinear convex programs with second-order cone constraints
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Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media
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Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application
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A smoothing Newton method based on the generalized Fischer–Burmeister function for MCPs
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Generalized Newton’s method based on graphical derivatives
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A smoothing Newton method for solving a class of stochastic linear complementarity problems
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Time-stepping for three-dimensional rigid body dynamics
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A new approach to continuation methods for complementarity problems with uniform P-functions
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On superlinear convergence of quasi-Newton methods for nonsmooth equations
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Constrained optimal control of Navier–Stokes flow by semismooth Newton methods
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Solving nonlinear complementarity problems with neural networks: a reformulation method approach
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Historical developments in convergence analysis for Newton's and Newton-like methods
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The theory of Newton's method
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Solving variational inequality problems via smoothing-nonsmooth reformulations
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Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations
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Inexact generalized Newton methods for second order C-differentiable optimization
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On preconditioned Uzawa methods and SOR methods for saddle-point problems
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Inexact-Newton methods for semismooth systems of equations with block-angular structure
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A modified secant method for semismooth equations
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Variationally consistent discretization schemes and numerical algorithms for contact problems
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Numerical methods for nonlinear equations
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A new trust region method for nonsmooth equations
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Globally Convergent Inexact Generalized Newton Method for First-Order Differentiable Optimization Problems
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A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems
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Global Projection-Type Error Bounds for General Variational Inequalities
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Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities
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Hybrid Newton-Type Method for a Class of Semismooth Equations
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Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems
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A Globally Convergent Smoothing Newton Method for Nonsmooth Equations and Its Application to Complementarity Problems
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Nonsmooth Calculus, Minimality, and Monotonicity of Convexificators
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Approximate Newton Methods for Nonsmooth Equations
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An NE/SQP Method for the Bounded Nonlinear Complementarity Problem
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Newton and Quasi-Newton Methods for Normal Maps with Polyhedral Sets
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