Gap Functions for Quasivariational Inequalities and Generalized Nash Equilibrium Problems, Journal of Optimization Theory and Applications, vol.43, issue.7, pp.474-488, 2011. ,
DOI : 10.1007/s10957-011-9898-z
Nonlinear Programming: Theory and Algorithms, 2006. ,
DOI : 10.1002/0471787779
An affine scaling trust-region approach to bound-constrained nonlinear systems, Applied Numerical Mathematics, vol.44, issue.3, pp.257-280, 2003. ,
DOI : 10.1016/S0168-9274(02)00170-8
Nonlinear Programming, Athena Scientific, 1999. ,
Numerical Optimization: Theoretical and Practical Aspects, 2006. ,
DOI : 10.1007/978-3-662-05078-1
A class of methods for solving nonlinear simultaneous equations, Mathematics of Computation, vol.19, issue.92, pp.577-593, 1965. ,
DOI : 10.1090/S0025-5718-1965-0198670-6
Generalized gradients and applications. Transactions of the, pp.247-262, 1975. ,
DOI : 10.1090/s0002-9947-1975-0367131-6
Partial subdifferentials, derivates and Rademacher's theorem. Transactions of the, pp.2899-2926, 1999. ,
Optimization and Nonsmooth Analysis, SIAM, 1990. ,
Quasi-newton methods, motivation and theory, SIAM Review, vol.19, issue.1, 1977. ,
URL : https://hal.archives-ouvertes.fr/hal-01495720
Numerical Methods for Unconstrained Optimization and Nonlinear Equations, SIAM, 1996. ,
DOI : 10.1137/1.9781611971200
On the solution of the KKT conditions of generalized Nash equilibrium problems, SIAM Journal on Optimization, vol.21, issue.3, pp.1082-1108, 2011. ,
DOI : 10.1137/100817000
GNE: computation of Generalized Nash Equilibria, 2013. ,
Minimization of SC1 functions and the Maratos effect, Operations Research Letters, vol.17, issue.3, pp.131-137, 1995. ,
DOI : 10.1016/0167-6377(94)00059-F
On generalized Nash games and variational inequalities, Operations Research Letters, vol.35, issue.2, pp.159-164, 2007. ,
DOI : 10.1016/j.orl.2006.03.004
Generalized Nash equilibrium problems and Newton methods, Mathematical Programming, vol.15, issue.Suppl., pp.163-194, 2009. ,
DOI : 10.1007/s10107-007-0160-2
A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems, Mathematical Programming, vol.77, issue.3, pp.493-512, 1997. ,
DOI : 10.1007/BF02614395
Generalized Nash equilibrium problems. Updated version of the 'quaterly journal of operations research' version, 2009. ,
DOI : 10.1007/s10479-009-0653-x
Finite-Dimensional Variational Inequalities and Complementary Problems. Volume I, Operations Research, 2003. ,
Finite-Dimensional Variational Inequalities and Complementary Problems. Volume II, Operations Research, 2003. ,
A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations, Journal of Computational Mathematics, vol.21, issue.5, pp.625-636, 2003. ,
On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption, Computing, vol.74, issue.1, pp.23-39, 2005. ,
DOI : 10.1007/s00607-004-0083-1
Local behavior of an iterative framework for generalized equations with nonisolated solutions, Mathematical Programming, vol.94, issue.1, pp.91-124, 2002. ,
DOI : 10.1007/s10107-002-0364-4
Quasi-variational inequalities, generalized Nash equilibria , and multi-leader-follower games, Comput. Manag. Sci, vol.2, pp.21-56, 2005. ,
A Nonmonotone Line Search Technique for Newton???s Method, SIAM Journal on Numerical Analysis, vol.23, issue.4, pp.707-716, 1986. ,
DOI : 10.1137/0723046
Local convergence of quasi-Newton methods for B-differentiable equations, Mathematical Programming, pp.71-89, 1992. ,
DOI : 10.1007/BF01580895
On error bounds and Newton-type methods for generalized Nash equilibrium problems, Computational Optimization and Applications, vol.37, issue.1-2, 2012. ,
DOI : 10.1007/s10589-013-9595-y
Global Convergence Analysis of the Generalized Newton and Gauss-Newton Methods of the Fischer-Burmeister Equation for the Complementarity Problem, Mathematics of Operations Research, vol.24, issue.3, pp.529-543, 1999. ,
DOI : 10.1287/moor.24.3.529
A Trust Region Method for Solving Generalized Complementarity Problems, SIAM Journal on Optimization, vol.8, issue.1, 1998. ,
DOI : 10.1137/S1052623495296541
Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations, Nonlinear Optimization and Applications, 1996. ,
Global and local superlinear convergence analysis of Newtontype methods for semismooth equations with smooth least squares Reformulation -nonsmooth, piecewise smooth, semismooth and smoothing methods, 1998. ,
A new class of semismooth Newton-type methods for nonlinear complementarity problems, Computational Optimization and Applications, vol.11, issue.3, pp.227-251, 1998. ,
DOI : 10.1023/A:1026424918464
Relaxation algorithms to find Nash equilibria with economic applications, Environmental Modeling and Assessment, vol.5, issue.1, pp.63-73, 2000. ,
DOI : 10.1023/A:1019097208499
Gap Function Approach to the Generalized Nash Equilibrium Problem, Journal of Optimization Theory and Applications, vol.53, issue.3, pp.511-531, 2010. ,
DOI : 10.1007/s10957-009-9614-4
Revisiting generalized Nash games and variational inequalities. preprint, 2010. ,
DOI : 10.1007/s10957-011-9981-5
On the convergence of quasi-Newton methods for nonsmooth problems. preprint, 1999. ,
A Potential Reduction Newton Method for Constrained Equations, SIAM Journal on Optimization, vol.9, issue.3, pp.729-754, 1999. ,
DOI : 10.1137/S1052623497318980
Note on non-cooperative convex game, Pacific Journal of Mathematics, vol.5, issue.5, pp.807-815, 1955. ,
DOI : 10.2140/pjm.1955.5.807
Numerical Optimization, 2006. ,
DOI : 10.1007/b98874
A hybrid method for nonlinear algebraic equations, Numerical Methods for Nonlinear Algebraic Equations, chapter 6, 1970. ,
Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations, Mathematics of Operations Research, vol.18, issue.1, pp.227-244, 1993. ,
DOI : 10.1287/moor.18.1.227
On superlinear convergence of quasi-Newton methods for nonsmooth equations, Operations Research Letters, vol.20, issue.5, pp.223-228, 1997. ,
DOI : 10.1016/S0167-6377(97)00012-6
Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations, Mathematics of Operations Research, vol.22, issue.2, pp.301-325, 1997. ,
DOI : 10.1287/moor.22.2.301
A Survey of Some Nonsmooth Equations and Smoothing Newton Methods, 1998. ,
DOI : 10.1007/978-1-4613-3285-5_7
A nonsmooth version of Newton's method, Mathematical Programming, pp.353-367, 1993. ,
DOI : 10.1007/BF01581275
R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, 2013. ,
The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem, SIAM Journal on Optimization, vol.7, issue.1, pp.26-33, 1997. ,
DOI : 10.1137/S1052623494266365
Squared polynomial extrapolation methods with cycling: an application to the positron emission tomography problem, Numerical Algorithms, vol.80, issue.2, pp.159-172, 2007. ,
DOI : 10.1007/s11075-007-9094-2
Efficient implementation of minimal polynomial and reduced rank extrapolation methods, Journal of Computational and Applied Mathematics, vol.36, issue.3, pp.305-337, 1991. ,
DOI : 10.1016/0377-0427(91)90013-A
Mathematical methods, 2011. ,
Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems, SIAM Journal on Optimization, vol.7, issue.2, pp.463-480, 1997. ,
DOI : 10.1137/S1052623494274970
Squared Extrapolation methods (SQUAREM): a new class of simple and efficient numerical schemes for accelerating the convergence of the EM algorithm. working paper, 2004. ,
Simple and Globally Convergent Methods for Accelerating the Convergence of Any EM Algorithm, Scandinavian Journal of Statistics, vol.51, issue.2, pp.335-353, 2008. ,
DOI : 10.1214/aos/1176346060
alabama: Constrained nonlinear optimization, pp.9-10, 2011. ,
Numerical methods for the solution of the generalized Nash equilibrium problem, 2009. ,
SC1 optimization reformulations of the generalized Nash equilibrium problem, Optimization Methods and Software, vol.23, issue.6, pp.953-973, 2008. ,
Optimization reformulations of the generalized Nash equilibrium problem using the Nikaido-Isoda type functions, Computational Optimization and Applications, vol.43, issue.3, 2009. ,
Newton???s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation, Mathematical Programming, pp.1-25, 2010. ,
DOI : 10.1007/s10107-010-0386-2
An interior point potential reduction method for constrained equations, Mathematical Programming, pp.159-195, 1996. ,
DOI : 10.1007/BF02592210
On the Rate of Convergence of the Levenberg-Marquardt Method, 2000. ,
DOI : 10.1007/978-3-7091-6217-0_18
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