Limited memory interior point bundle method for large inequality constrained nonsmooth minimization

[1]  J. Nocedal.  Updating Quasi-Newton Matrices With Limited Storage , 1980 .

[2]  C. Lemaréchal,et al.  ON A BUNDLE ALGORITHM FOR NONSMOOTH OPTIMIZATION , 1981 .

[3]  R. Mifflin.  A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization , 1982 .

[4]  F. Clarke.  Optimization And Nonsmooth Analysis , 1983 .

[5]  A. Bihain.  Optimization of upper semidifferentiable functions , 1984 .

[6]  K. Kiwiel.  Methods of Descent for Nondifferentiable Optimization , 1985 .

[7]  K. Kiwiel.  An Exact Penalty Function Algorithm for Non-smooth Convex Constrained Minimization Problems , 1985 .

[8]  Krzysztof C. Kiwiel.  A method of linearizations for linearly constrained nonconvex nonsmooth minimization , 1986, Math. Program..

[9]  Roger Fletcher,et al.  Practical methods of optimization; (2nd ed.) , 1987 .

[10]  K. Kiwiel.  A constraint linearization method for nondifferentiable convex minimization , 1987 .

[11]  R. Fletcher.  Practical Methods of Optimization , 1988 .

[12]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[13]  E. Panier,et al.  A QP-Free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization , 1988 .

[14]  Claude Lemaréchal,et al.  Some numerical experiments with variable-storage quasi-Newton algorithms , 1989, Math. Program..

[15]  Krzysztof C. Kiwiel,et al.  Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization , 1991, Math. Program..

[16]  P. Neittaanmäki,et al.  Nonsmooth Optimization: Analysis and Algorithms with Applications to Optimal Control , 1992 .

[17]  Jochem Zowe,et al.  A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results , 1992, SIAM J. Optim..

[18]  Jorge Nocedal,et al.  Representations of quasi-Newton matrices and their use in limited memory methods , 1994, Math. Program..

[19]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[20]  Yurii Nesterov,et al.  New variants of bundle methods , 1995, Math. Program..

[21]  J. Herskovits,et al.  On the computer implementation of feasible direction interior point algorithms for nonlinear optimization , 1997 .

[22]  J. Herskovits.  Feasible Direction Interior-Point Technique for Nonlinear Optimization , 1998 .

[23]  L. Luksan,et al.  Globally Convergent Variable Metric Method for Convex Nonsmooth Unconstrained Minimization1 , 1999 .

[24]  Sven Leyffer,et al.  A bundle filter method for nonsmooth nonlinear optimization , 1999 .

[25]  L. Luksan,et al.  Globally Convergent Variable Metric Method for Nonconvex Nondifferentiable Unconstrained Minimization , 2001 .

[26]  Sasan Bakhtiari,et al.  A Simple Primal-Dual Feasible Interior-Point Method for Nonlinear Programming with Monotone Descent , 2003, Comput. Optim. Appl..

[27]  Adil M. Bagirov,et al.  Parallelization of the Discrete Gradient Method of Non-smooth Optimization and Its Applications , 2003, International Conference on Computational Science.

[28]  Andreas Wächter,et al.  A Primal-Dual Interior-Point Method for Nonlinear Programming with Strong Global and Local Convergence Properties , 2003, SIAM J. Optim..

[29]  Kaisa Miettinen,et al.  New limited memory bundle method for large-scale nonsmooth optimization , 2004, Optim. Methods Softw..

[30]  Marjo S. Haarala.  Large-scale nonsmooth optimization : variable metric bundle method with limited memory , 2004 .

[31]  Claudia A. Sagastizábal,et al.  An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter , 2005, SIAM J. Optim..

[32]  Arkadi Nemirovski,et al.  Non-euclidean restricted memory level method for large-scale convex optimization , 2005, Math. Program..

[33]  Marjo S. Haarala,et al.  Limited memory bundle algorithm for large bound constrained nonsmooth minization problems , 2006 .

[34]  Kaisa Miettinen,et al.  Globally convergent limited memory bundle method for large-scale nonsmooth optimization , 2007, Math. Program..

[35]  Samir Elhedhli,et al.  Nondifferentiable Optimization , 2009, Encyclopedia of Optimization.

[36]  Claudia A. Sagastizábal,et al.  A bundle-filter method for nonsmooth convex constrained optimization , 2008, Math. Program..

[37]  Leon G. Higley,et al.  Forensic Entomology: An Introduction , 2009 .