Introduction to semidefinite, conic and polynomial optimization, International Series in Operations Research & Management Science, vol.166, p.131, 2012. ,

Asymptotic Cones and Functions in Optimization and Variational Inequalitites, Springer Monographs in Mathematics, p.20, 2003. ,

Nonlinear Programming, Analysis and Methods, 1976. ,

Second-order and related extremality conditions in nonlinear programming, Journal of Optimization Theory and Applications, vol.31, issue.2, pp.143-165, 1980. ,

, Lectures on Modern Convex Optimization -Analysis, Algorithms, and Engineering Applications. MPS-SIAM Series on Optimization 2. SIAM, p.127, 2001.

A unified theory of first and second order conditions for extremum problems in topological vector spaces, Mathematical Programming Study, vol.19, pp.39-76, 1982. ,

, Completely Positive Matrices. World Scientific, p.73, 2003.

Projected Newton methods for optimization problems with simple constraints, SIAM Journal on Control and Optimization, vol.20, pp.221-246, 1982. ,

Semidefinite Optimization and Convex Algebraic Geometry, MOS-SIAM Series on Optimization. SIAM and MPS, Philadelphia, 2013. ,

Local analysis of Newton-type methods for variational inequalities and nonlinear programming, Applied Mathematics and Optimization, vol.29, pp.161-186, 1994. ,

Numerical Optimization -Theoretical and Practical Aspects, 2006. ,

Perturbation Analysis of Optimization Problems, 2000. ,

Convex Analysis and Nonlinear Optimization -Theory and Examples, CMS Books in Mathematics, vol.3, p.20, 2000. ,

Analyse Fonctionnelle Appliquée, vol.52, p.64, 1983. ,

An exact penalization viewpoint of constrained optimization, SIAM Journal on Control and Optimization, vol.29, pp.968-998, 1991. ,

Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen, Mathematische Annalen, vol.64, pp.95-115, 1907. ,

Optimization and Nonsmooth Analysis, p.118, 1983. ,

Optimization Problems, 1975. ,

Metric regularity, tangent sets, and second-order optimality conditions, Applied Mathematics and Optimization, vol.21, issue.1, pp.265-287, 1990. ,

Manifestations of the Schur complement, Linear Algebra and its Applications, vol.8, pp.189-211, 1974. ,

On the computational complexity of membership problems for the completely positive cone and its dual, p.73, 2011. ,

Towards historical roots of necessary conditions of optimality -Regula of Peano, Control and Cybernetics, vol.36, pp.491-518, 2007. ,

Implicit Functions and Solution Mappings -A View from Variational Analysis, p.64, 2009. ,

Convergence of inexact Newton methods for generalized equations, Mathematical Programming, vol.139, pp.115-137, 2013. ,

Implicit Functions and Solution Mappings -A View from Variational Analysis, Springer Series in Operations Research and Financial Engineering, vol.80, p.83, 2014. ,

On the basic theorem of complementarity, Mathematical Programming, vol.1, pp.68-75, 1971. ,

, Measure Theory and Fine Properties of Functions, p.23, 2015.

Finite-Dimensional Variational Inequalities and Complementarity Problems (two volumes), Springer Series in Operations Research. Springer. iii, vol.83, p.126, 2003. ,

Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Classics in Applied Mathematics, vol.72, issue.4, p.75, 1968. ,

The sequential quadratic programming method, Numerical Optimization, p.112, 1989. ,

An algorithm for quadratic programming, Naval Research Logistics Quarterly, vol.3, p.109, 1956. ,

Sur la notion de différentielle, C. R. Acad. Sci, vol.152, p.22, 1911. ,

A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming, Mathematical Programming, vol.12, pp.136-138, 1977. ,

Théorie de la programmation mathématique non convexe, Les Publications CRM, p.75, 1992. ,

Global convergence properties of conjugate gradient methods for optimization, SIAM Journal on Optimization, vol.2, pp.21-42, 1992. ,

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications, vol.48, pp.161-220, 1990. ,

On some non-linear elliptic differential-functional equations, Acta Mathematica, vol.115, pp.271-310, 1966. ,

, Grundlehren der mathematischen Wissenschaften, p.20, 1996.

Fundamentals of Convex Analysis, p.20, 2001. ,

A variational approach to copositive matrices, SIAM Review, vol.52, pp.593-629, 2010. ,

URL : https://hal.archives-ouvertes.fr/hal-00629655

Smoothness of certain metric projections on Hilbert space, Translations of the American Mathematical Society, vol.184, pp.87-100, 1973. ,

Conditionally definite matrices, Journal of Mathematical Sciences, vol.98, 2000. ,

Necessary and sufficient conditions for a local minimum. 3: second order conditions and augmented duality, SIAM Journal on Control and Optimization, vol.17, pp.266-288, 1979. ,

Lagrange Multiplier Approach to Variational Problems and Applications. Advances in Design and Control, 2008. ,

Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization, Computational Optimization and Applications, vol.46, issue.2, pp.347-368, 2010. ,

Newton-Type Methods for Optimization and Variational Problems, Springer Series in Operations Research and Financial Engineering. Springer. iii, vol.83, p.126, 2014. ,

Newton's method for generalized equations, p.94, 1965. ,

Quasi-Newton's method for generalized equations, Summary Report, p.94, 1966. ,

Generalized complementarity problem, Journal of Optimization Theory and Applications, vol.8, issue.3, pp.161-168, 1971. ,

Minima of Functions of Several Variables with Inequalities as Side Conditions, p.31, 1939. ,

Nonsmooth Equations in Optimization -Regularity, Calculus, Methods and Applications, volume 60 of Nonconvex Optimization and Its Applications, p.126, 2002. ,

Two convex counterexamples: a discontinuous envelope function and a nondifferentiable nearest-point mapping, Proceedings of the, vol.23, p.124, 1969. ,

Nonlinear programming, Proceedings of the second Berkeley Symposium on Mathematical Studies and Probability, p.31, 1951. ,

Newton's method for nondifferentiable functions, Advances in Mathematical Optimization, vol.115, p.116, 1988. ,

Global optimization with polynomials and the problem of moments, SIAM Journal on Optimization, vol.11, pp.796-817, 2001. ,

, Moments Positive Polynomials and Their Applications, p.131, 2010.

An Introduction to Polynomial and Semi-Algebraic Optimization, Cambridge Texts in Applied Mathematics, p.131, 2015. ,

URL : https://hal.archives-ouvertes.fr/hal-02095856

A highly efficient semismooth Newton augmented Lagrangian method for solving Lasso problems, SIAM Journal on Optimization, issue.1, p.28, 2018. ,

Variational inequalities, Communication on Pure and Applied Mathematics, vol.20, pp.493-519, 1967. ,

Introduction to Linear and Nonlinear Programming, p.72, 1973. ,

Convex programming and variational inequalities, Journal of Optimization Theory and Applications, vol.9, pp.3-23, 1972. ,

The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, Journal of Mathematical Analysis and Applications, vol.17, pp.37-47, 1967. ,

Semismooth and semiconvex functions in constrained optimization, SIAM Journal on Control and Optimization, vol.15, p.126, 1977. ,

Some NP-complete problems in quadratic and nonlinear programming, Mathematical Programming, vol.39, pp.117-129, 1987. ,

Iterative Solution of Nonlinear Equations in Several Variables, Classics in Applied Mathematics, 1970. ,

On a decomposition for multivariable forms via LMI methods, Proceedings of the American Control Conference, p.131, 2000. ,

On regularity conditions in mathematical programming, Mathematical Programming Study, vol.19, pp.167-1999, 1982. ,

Problems and Theorems in Analysis II, p.136, 1976. ,

Convergence analysis of some algorithms for solving nonsmooth equations, Mathematics of Operations Research, vol.18, pp.227-244, 1993. ,

A nonsmooth version of Newton's method. Mathematical Programming, vol.58, pp.353-367, 1993. ,

A Mathematical View of Interior-Point Methods in Convex Optimization, MPS-SIAM Series on Optimization, vol.3, 2001. ,

Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms, Mathematical Programming, vol.7, pp.1-16, 1974. ,

Stability theory for systems of inequalities, part I: linear systems, SIAM Journal on Numerical Analysis, vol.12, pp.754-769, 1975. ,

Stability theory for systems of inequalities, part II: differentiable nonlinear systems, SIAM Journal on Numerical Analysis, vol.13, pp.497-513, 1976. ,

, Strongly regular generalized equations. Mathematics of Operations Research, vol.5, p.94, 1980.

Generalized equations and their solutions, Part II: Applications to nonlinear programming, Mathematical Programming Study, vol.19, p.78, 1982. ,

Local structure of feasible sets in nonlinear programming, part III: stability and sensitivity. Mathematical Programming Study, vol.30, pp.45-66, 1987. ,

Variational conditions with smooth constraints: structure and analysis, Mathematical Programming, vol.97, issue.1-2, pp.245-265, 2003. ,

Convex Analysis, Princeton Mathematics Ser, vol.28, p.127, 1970. ,

Variational Analysis. Grundlehren der mathematischen Wissenschaften 317, p.80, 1998. ,

On concepts of directional differentiability, Journal of Optimization Theory and Applications, vol.66, pp.477-487, 1990. ,

Directionally nondifferentiable metric projection, Journal of Optimization Theory and Applications, vol.1, p.124, 1994. ,

Lagrange multipliers revisited: a contribution to non-linear programming. Cowles Commission Discussion Paper, 1950. ,

Variational inequalities, Theory and Applications of Monotone Operators (Proc. NATO Advanced Study Inst, p.83, 1968. ,

URL : https://hal.archives-ouvertes.fr/hal-01378842

Nonlinear programming, computational methods, Integer and Nonlinear Programming, p.40, 1970. ,