A primal-dual interior point algorithm with an exact and differentiable merit function for nonlinear programming, International Conference on Nonlinear Programming and Variational Inequalities, pp.1-36, 1998. ,
DOI : 10.1080/10556780008805791
Globally Convergent Interior-Point Algorithm for Nonlinear Programming, Journal of Optimization Theory and Applications, vol.49, issue.3, pp.497-521, 2005. ,
DOI : 10.1007/s10957-005-2086-2
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling, SIAM Journal on Matrix Analysis and Applications, vol.23, issue.1, pp.15-41, 2001. ,
DOI : 10.1137/S0895479899358194
URL : https://hal.archives-ouvertes.fr/hal-00808293
On Augmented Lagrangian Methods with General Lower-Level Constraints, SIAM Journal on Optimization, vol.18, issue.4, pp.1286-1309, 2007. ,
DOI : 10.1137/060654797
URL : https://hal.archives-ouvertes.fr/hal-01295437
Augmented Lagrangian methods under the constant positive linear dependence constraint qualification, Mathematical Programming, vol.30, issue.1-2, pp.5-32, 2008. ,
DOI : 10.1007/s10107-006-0077-1
On the Global Convergence of a Modified Augmented Lagrangian Linesearch Interior-Point Newton Method for Nonlinear Programming, Journal of Optimization Theory and Applications, vol.1, issue.1, pp.1-25, 2002. ,
DOI : 10.1023/A:1015451203254
A quasi-Newton penalty barrier method for convex minimization problems, Computational Optimization and Applications, vol.26, issue.1, pp.5-34, 2003. ,
DOI : 10.1023/A:1025589804531
A local convergence property of primal-dual methods for nonlinear programming, Mathematical Programming, vol.102, issue.2, pp.199-222, 2008. ,
DOI : 10.1007/s10107-007-0136-2
URL : https://hal.archives-ouvertes.fr/hal-00320569
Uniform boundedness of the inverse of a Jacobian matrix arising in regularized interior-point methods, Mathematical Programming, vol.106, issue.1, Ser. A, pp.587-592, 2013. ,
DOI : 10.1007/s10107-011-0498-3
URL : https://hal.archives-ouvertes.fr/hal-00683008
Local path-following property of inexact interior methods in nonlinear programming, Computational Optimization and Applications, vol.106, issue.1, pp.209-238, 2012. ,
DOI : 10.1007/s10589-011-9406-2
URL : https://hal.archives-ouvertes.fr/hal-00682785
Study of a primal-dual method for equality constrained minimization, Comput. Optim. Appl, vol.30, issue.33, pp.1-29, 2014. ,
Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming, Computational Optimization and Applications, vol.102, issue.1, pp.1-25, 2008. ,
DOI : 10.1007/s10589-007-9095-z
URL : https://hal.archives-ouvertes.fr/hal-00320621
From global to local convergence of interior methods for nonlinear optimization. Optimization Methods and Software, pp.1051-1080, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00920220
A globally and quadratically convergent primal???dual augmented Lagrangian algorithm for equality constrained optimization, Optimization Methods and Software, vol.100, issue.1, p.25, 2014. ,
DOI : 10.1137/S1052623499355533
URL : https://hal.archives-ouvertes.fr/hal-01313701
A mixed logarithmic barrier-augmented lagrangian algorithm for constrained optimization. En préparation, pp.2014-53 ,
URL : https://hal.archives-ouvertes.fr/hal-01316930
A two parameter mixed interior-exterior penalty algorithm, ZOR Zeitschrift f???r Operations Research Mathematical Methods of Operations Research, vol.14, issue.1, pp.25-55, 1995. ,
DOI : 10.1007/BF01415063
Interior-point methods for nonconvex nonlinear programming: Jamming and numerical testing, Mathematical Programming, vol.99, issue.1, pp.35-48, 2004. ,
DOI : 10.1007/s10107-003-0418-2
Combined Primal-Dual and Penalty Methods for Constrained Minimization, SIAM Journal on Control, vol.13, issue.3, pp.521-544, 1975. ,
DOI : 10.1137/0313030
On Penalty and Multiplier Methods for Constrained Minimization, SIAM Journal on Control and Optimization, vol.14, issue.2, pp.216-235, 1976. ,
DOI : 10.1137/0314017
Approximation procedures based on the method of multipliers, Journal of Optimization Theory and Applications, vol.14, issue.4, pp.487-510, 1977. ,
DOI : 10.1007/BF00933293
Constrained optimization and Lagrange multiplier methods, Computer Science and Applied Mathematics, vol.3, p.4, 1982. ,
Convergence rate of penalty and multiplier methods, 1973 IEEE Conference on Decision and Control including the 12th Symposium on Adaptive Processes, pp.260-264, 1973. ,
DOI : 10.1109/CDC.1973.269172
Nonlinear programming Concepts, algorithms, and applications to chemical processes, MOS-SIAM Series on Optimization . Society for Industrial and Applied Mathematics (SIAM), vol.10, issue.9, 2010. ,
The boundedness of penalty parameters in an augmented lagrangian method with constrained subproblems. Optimization Methods Software, pp.1001-1024, 2004. ,
A Family of Descent Functions for Constrained Optimization, SIAM Journal on Numerical Analysis, vol.21, issue.6, pp.1146-1161, 1984. ,
DOI : 10.1137/0721071
Optimisation non linéaire et application au réglage d'un réseau de télescopes, p.22, 2009. ,
Preliminary Computational Experience with Modified Log-Barrier Functions for Large-Scale Nonlinear Programming, Large scale optimization, pp.45-67, 1993. ,
DOI : 10.1007/978-1-4613-3632-7_3
Computational experience with penalty-barrier methods for nonlinear programming, Annals of Operations Research, vol.15, issue.1, pp.439-463, 1996. ,
DOI : 10.1007/BF02206826
A smooth sequential penalty function method for solving nonlinear programming problems, System modelling and optimization, pp.237-245, 1983. ,
DOI : 10.1007/BFb0008897
Dual algorithms for constrained optimization problems Doctoral dissertation, Faculty of Science, Rijksuniversiteit te Leiden, vol.3, p.4, 1972. ,
A trust region method based on interior point techniques for nonlinear programming, Mathematical Programming, vol.89, issue.1, pp.149-185, 2000. ,
DOI : 10.1007/PL00011391
URL : https://hal.archives-ouvertes.fr/inria-00073794
An Interior Point Algorithm for Large-Scale Nonlinear Programming, SIAM Journal on Optimization, vol.9, issue.4, pp.877-900, 1999. ,
DOI : 10.1137/S1052623497325107
Feasible interior methods using slacks for nonlinear optimization, Computational Optimization and Applications, vol.26, issue.1, pp.35-61, 2003. ,
DOI : 10.1023/A:1025136421370
Knitro: An Integrated Package for Nonlinear Optimization, Large-scale nonlinear optimization, pp.35-59, 2006. ,
DOI : 10.1007/0-387-30065-1_4
An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization, SIAM Journal on Optimization, vol.2, issue.2, pp.210-241, 1992. ,
DOI : 10.1137/0802012
Interior-point ???2-penalty methods for nonlinear programming with strong global convergence properties, Mathematical Programming, vol.102, issue.1, pp.1-36, 2006. ,
DOI : 10.1007/s10107-005-0701-5
Computing a Trust Region Step for a Penalty Function, SIAM Journal on Scientific and Statistical Computing, vol.11, issue.1, pp.180-201, 1990. ,
DOI : 10.1137/0911012
A primal-dual trust-region algorithm for non-convex nonlinear programming, Mathematical Programming, vol.87, issue.2, pp.215-249, 2000. ,
DOI : 10.1007/s101070050112
A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds, SIAM Journal on Numerical Analysis, vol.28, issue.2, pp.545-572, 1991. ,
DOI : 10.1137/0728030
LANCELOT : A Fortran package for large-scale nonlinear optimization (release A), p.59, 1992. ,
DOI : 10.1007/978-3-662-12211-2
Trust-region methods, MPS/SIAM Series on Optimization. Society for Industrial and Applied Mathematics (SIAM), vol.8, p.9, 2000. ,
DOI : 10.1137/1.9780898719857
Variational methods for the solution of problems of equilibrium and vibrations, Bulletin of the American Mathematical Society, vol.49, issue.1, pp.1-23, 1943. ,
DOI : 10.1090/S0002-9904-1943-07818-4
Adaptive Augmented Lagrangian Methods for Equality Constrained Optimization, 2012. ,
A Matrix-Free Algorithm for Equality Constrained Optimization Problems with Rank-Deficient Jacobians, SIAM Journal on Optimization, vol.20, issue.3, pp.1224-1249, 2009. ,
DOI : 10.1137/08072471X
Augmented Lagrangian Line Searches for Successive Quadratic Programming, 1982. ,
Definite and Semidefinite Quadratic Forms, Econometrica, vol.20, issue.2, pp.295-300, 1952. ,
DOI : 10.2307/1907852
Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems, SIAM Journal on Control and Optimization, vol.36, issue.5, pp.1750-1794, 1998. ,
DOI : 10.1137/S036012995279031
Numerical methods for unconstrained optimization and nonlinear equations, p.76, 1983. ,
DOI : 10.1137/1.9781611971200
A new class of augmented Lagrangians in nonlinear programming, SIAM J. Control Optim, vol.17, issue.3, pp.618-628, 1979. ,
A new augmented Lagrangian function for inequality constraints in nonlinear programming problems, J. Optim. Theory Appl, vol.36, issue.4 4, pp.495-519, 1982. ,
Benchmarking optimization software with performance profiles, Mathematical Programming, vol.91, issue.2, pp.201-213, 2002. ,
DOI : 10.1007/s101070100263
URL : http://arxiv.org/abs/cs/0102001
Benchmarking optimization software with COPS 3.0, p.103, 2004. ,
DOI : 10.2172/834714
MA57---a code for the solution of sparse symmetric definite and indefinite systems, ACM Transactions on Mathematical Software, vol.30, issue.2, pp.118-144, 2004. ,
DOI : 10.1145/992200.992202
On the superlinear convergence order of the logarithmic barrier algorithm, Computational Optimization and Applications, vol.19, issue.1, pp.31-53, 2001. ,
DOI : 10.1023/A:1011220302800
On the formulation and theory of the Newton interior-point method for nonlinear programming, Journal of Optimization Theory and Applications, vol.26, issue.3, pp.507-541, 1996. ,
DOI : 10.1007/BF02275347
Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition, SIAM Journal on Optimization, vol.22, issue.2, pp.384-407, 2012. ,
DOI : 10.1137/10081085X
Nonlinear programming : Sequential unconstrained minimization techniques, p.59, 1968. ,
DOI : 10.1137/1.9781611971316
A class of methods for nonlinear programming with termination and convergence properties, Integer and nonlinear programming, pp.157-175, 1970. ,
Practical methods of optimization, 1987. ,
DOI : 10.1002/9781118723203
Nonlinear programming without a penalty function, Mathematical Programming, vol.91, issue.2, pp.239-269, 2002. ,
DOI : 10.1007/s101070100244
Primal-Dual Interior Methods for Nonconvex Nonlinear Programming, SIAM Journal on Optimization, vol.8, issue.4, pp.1132-1152, 1998. ,
DOI : 10.1137/S1052623496305560
Interior Methods for Nonlinear Optimization, SIAM Review, vol.44, issue.4, pp.525-597, 2002. ,
DOI : 10.1137/S0036144502414942
AMPL : A Modeling Language for Mathematical Programming, p.99, 2002. ,
A primal???dual regularized interior-point method for convex quadratic programs, Mathematical Programming Computation, vol.65, issue.(3, pp.71-107, 2012. ,
DOI : 10.1007/s12532-012-0035-2
The logarithmic potential method of convex programming. Memorandum, 1955. ,
A Primal-dual Interior Method for Nonconvex Nonlinear Programming, Advances in nonlinear programming, pp.31-56, 1996. ,
DOI : 10.1007/978-1-4613-3335-7_2
A primal-dual trust region algorithm for nonlinear optimization, Math. Program, vol.100, issue.1 8, pp.49-94, 2004. ,
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization, SIAM Review, vol.47, issue.1, pp.99-131, 2005. ,
DOI : 10.1137/S0036144504446096
Some theoretical properties of an augmented Lagrangian merit function, 1986. ,
A primal-dual augmented Lagrangian, Computational Optimization and Applications, vol.27, issue.3, pp.1-25, 2012. ,
DOI : 10.1007/s10589-010-9339-1
A Globally Convergent Stabilized SQP Method, SIAM Journal on Optimization, vol.23, issue.4, pp.30-64, 1983. ,
DOI : 10.1137/120882913
A multiplier method with automatic limitation of penalty growth, Mathematical Programming, vol.12, issue.2, pp.140-155, 1979. ,
DOI : 10.1007/BF01588240
A modified barrieraugmented Lagrangian method for constrained minimization, Computational Optimization and Applications, vol.14, issue.1, pp.55-74, 1999. ,
DOI : 10.1023/A:1008705028512
On the Accurate Determination of Search Directions for Simple Differentiable Penalty Functions, IMA Journal of Numerical Analysis, vol.6, issue.3, pp.357-372, 1986. ,
DOI : 10.1093/imanum/6.3.357
Superlinear Convergence of Primal-Dual Interior Point Algorithms for Nonlinear Programming, SIAM Journal on Optimization, vol.11, issue.4, pp.974-1002, 2001. ,
DOI : 10.1137/S1052623400370515
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations, Math. Program, vol.92, issue.3 2 8, pp.481-508, 2000. ,
CUTEr and SifDec, ACM Transactions on Mathematical Software, vol.29, issue.4, p.103, 2001. ,
DOI : 10.1145/962437.962439
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization, ACM Transactions on Mathematical Software, vol.29, issue.4, pp.353-372, 2003. ,
DOI : 10.1145/962437.962438
GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization, ACM Transactions on Mathematical Software, vol.29, issue.4, pp.353-372, 1991. ,
DOI : 10.1145/962437.962438
Numerical methods for large-scale nonlinear optimization, Acta Numerica, vol.14, pp.299-361, 2005. ,
DOI : 10.1017/S0962492904000248
Cutest : a constrained and unconstrained testing environment with safe threads, pp.2013-59 ,
Multiplier and gradient methods, Journal of Optimization Theory and Applications, vol.4, issue.5, pp.303-320, 1969. ,
DOI : 10.1007/BF00927673
Test examples for nonlinear programming codes, Lecture Notes in Economics and Mathematical Systems, vol.187, issue.87, pp.59-103, 1981. ,
A new polynomial-time algorithm for linear programming, Combinatorica, vol.244, issue.S, pp.373-395, 1984. ,
DOI : 10.1007/BF02579150
PENNON: A code for convex nonlinear and semidefinite programming, Optimization Methods and Software, vol.18, issue.3, pp.317-333, 2003. ,
DOI : 10.1080/1055678031000098773
A Primal-Dual Interior Point Algorithm for Linear Programming, Progress in mathematical programming, pp.29-47, 1987. ,
DOI : 10.1007/978-1-4613-9617-8_2
Combined Primal???Dual and Penalty Methods for Convex Programming, SIAM Journal on Control and Optimization, vol.14, issue.2, pp.268-294, 1976. ,
DOI : 10.1137/0314020
A new penalty function method for constrained minimization, Proceedings of the 1972 IEEE Conference on Decision and Control and 11th Symposium on Adaptive Processes, pp.162-166, 2004. ,
DOI : 10.1109/CDC.1972.268971
Macmpec test suite, p.103 ,
A Robust Primal-Dual Interior-Point Algorithm for Nonlinear Programs, SIAM Journal on Optimization, vol.14, issue.4, pp.1163-1186, 2004. ,
DOI : 10.1137/S1052623402400641
Global Convergence Analysis of Line Search Interior-Point Methods for Nonlinear Programming without Regularity Assumptions, Journal of Optimization Theory and Applications, vol.22, issue.3, pp.609-628, 2005. ,
DOI : 10.1007/s10957-005-2092-4
Hessian matrices of penalty functions for solving constrainedoptimization problems, Philips Res. Rep, vol.24, issue.2 6, pp.322-330, 1969. ,
On the characterization of Qsuperlinear convergence of quasi-Newton interior-point methods for nonlinear programming, Bol. Soc. Mat. Mexicana, vol.1, issue.32 8, pp.137-148, 1995. ,
An augmented Lagrangian interior-point method using directions of negative curvature, Mathematical Programming, vol.95, issue.3, pp.573-616, 2003. ,
DOI : 10.1007/s10107-002-0360-8
Analytical expressions for the eigenvalues and eigenvectors of the Hessian matrices of barrier and penalty functions, Journal of Optimization Theory and Applications, vol.7, issue.3, pp.189-196, 1971. ,
DOI : 10.1007/BF00932477
Minos 5.5 user's guide. report sol 83-20r, SIAM J. Optim, vol.18, issue.4 5, pp.1286-1309, 2007. ,
A Numerical Comparison of Barrier and Modified Barrier Methods For Large-Scale Bound-Constrained Optimization, Large scale optimization, pp.319-338, 1993. ,
DOI : 10.1007/978-1-4613-3632-7_16
Interior-point methods for optimization, Acta Numerica, vol.17, issue.7, pp.191-234, 2008. ,
DOI : 10.1017/S0962492906370018
Numerical optimization. Springer Series in Operations Research and Financial Engineering, p.56, 2006. ,
A globally convergent, implementable multiplier method with automatic penalty limitation, Applied Mathematics & Optimization, vol.12, issue.6, pp.335-360, 1980. ,
DOI : 10.1007/BF01442901
Modified barrier functions (theory and methods), Mathematical Programming, vol.12, issue.2, pp.177-222, 1992. ,
DOI : 10.1007/BF01586050
On the local quadratic convergence of the primal???dual augmented Lagrangian method, Optimization Methods and Software, vol.24, issue.3, pp.369-379, 2009. ,
DOI : 10.1080/10556780802699433
A method for nonlinear constraints in minimization problems, In Optimization (Sympos, issue.3, pp.283-298, 1968. ,
Primal-dual methods for nonlinear optimization, Thesis (Ph.D.)?University of California, p.30, 2007. ,
The multiplier method of Hestenes and Powell applied to convex programming, Journal of Optimization Theory and Applications, vol.8, issue.6, pp.555-562, 1973. ,
DOI : 10.1007/BF00934777
New applications of duality in nonlinear programming, Proceedings of the Fourth Conference on Probability Theory, pp.73-81, 1971. ,
Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming, SIAM Journal on Control, vol.12, issue.2, pp.268-285, 1974. ,
DOI : 10.1137/0312021
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming, Mathematics of Operations Research, vol.1, issue.2, pp.97-116, 1976. ,
DOI : 10.1287/moor.1.2.97
The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function, Numerische Mathematik, vol.31, issue.1, pp.83-114, 1981. ,
DOI : 10.1007/BF01395810
Diagonalized multiplier methods and quasi-Newton methods for constrained optimization, Journal of Optimization Theory and Applications, vol.12, issue.2, pp.135-194, 1977. ,
DOI : 10.1007/BF00933161
A Primal-Dual Interior-Point Method for Nonlinear Programming with Strong Global and Local Convergence Properties, SIAM Journal on Optimization, vol.14, issue.1, pp.173-199, 2003. ,
DOI : 10.1137/S1052623401392123
Convergent Infeasible Interior-Point Trust-Region Methods for Constrained Minimization, SIAM Journal on Optimization, vol.13, issue.2, pp.432-469, 2002. ,
DOI : 10.1137/S1052623499357945
On the convergence of the exponential multiplier method for convex programming, Math. Programming, pp.1-19, 1993. ,
DOI : 10.1007/BF01580598
A globally convergent primal-dual interior-point filter method for nonlinear programming, Mathematical Programming, vol.100, issue.2, pp.379-410, 2004. ,
DOI : 10.1007/s10107-003-0477-4
An interior-point algorithm for nonconvex nonlinear programming Computational optimization?a tribute to Olvi Mangasarian, Part II, Computational Optimization and Applications, vol.13, issue.1/3, pp.231-252, 1999. ,
DOI : 10.1023/A:1008677427361
An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering, p.45, 2002. ,
Failure of global convergence for a class of interior point methods for nonlinear programming, Mathematical Programming, vol.88, issue.3, pp.565-574, 2000. ,
DOI : 10.1007/PL00011386
Line Search Filter Methods for Nonlinear Programming: Local Convergence, SIAM Journal on Optimization, vol.16, issue.1, pp.32-48, 2005. ,
DOI : 10.1137/S1052623403426544
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006. ,
DOI : 10.1007/s10107-004-0559-y
An interior algorithm for nonlinear optimization that combines line search and trust region steps, Mathematical Programming, vol.107, issue.3, pp.391-408, 2006. ,
DOI : 10.1007/s10107-004-0560-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.116.5305
Unified theory of augmented Lagrangian methods for constrained global optimization, Journal of Global Optimization, vol.11, issue.3, pp.433-458, 2009. ,
DOI : 10.1007/s10898-008-9347-1
A Simplicial Algorithm for Concave Programming, 1963. ,
Numerical methods for nonlinearly constrained optimization. STAN-CS, Dept. of Computer Science, issue.4, 1976. ,
Interior methods for constrained optimization, Acta Numerica, vol.26, issue.7, pp.341-407, 1992. ,
DOI : 10.1007/BF02592025
An Algorithm for Degenerate Nonlinear Programming with Rapid Local Convergence, SIAM Journal on Optimization, vol.15, issue.3, pp.673-696, 2005. ,
DOI : 10.1137/030601235
A globally convergent primal-dual interior point method for constrained optimization, Optimization Methods and Software, vol.10, issue.2, pp.443-469, 1998. ,
DOI : 10.1080/10556789808805723
Superlinear and quadratic convergence of some primaldual interior point methods for constrained optimization, Math. Programming, pp.377-397, 1996. ,
An Interior Point Method with a Primal-Dual Quadratic Barrier Penalty Function for Nonlinear Optimization, SIAM Journal on Optimization, vol.14, issue.2, pp.479-499, 2003. ,
DOI : 10.1137/S1052623499355533
Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming, Mathematical Programming, vol.8, issue.1-2, pp.1-30, 2012. ,
DOI : 10.1007/s10107-010-0354-x
A primal???dual interior point method for nonlinear semidefinite programming, Mathematical Programming, vol.102, issue.12, pp.89-121, 2012. ,
DOI : 10.1007/s10107-011-0449-z
A globally and superlinearly convergent primal-dual interior point trust region method for large scale constrained optimization, Mathematical Programming, vol.75, issue.1, pp.111-151, 2005. ,
DOI : 10.1007/s10107-004-0508-9