A Survey of Some Nonsmooth Equations and Smoothing Newton Methods
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[1] James M. Ortega,et al. Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.
[2] B. Curtis Eaves,et al. On the basic theorem of complementarity , 1971, Math. Program..
[3] J. J. Moré. Coercivity Conditions in Nonlinear Complementarity Problems , 1974 .
[4] J. J. Moré,et al. Quasi-Newton Methods, Motivation and Theory , 1974 .
[5] O. Mangasarian. Unconstrained Lagrangians in Nonlinear Programming , 1975 .
[6] R. Mifflin. Semismooth and Semiconvex Functions in Constrained Optimization , 1977 .
[7] N. Josephy. Newton's Method for Generalized Equations. , 1979 .
[8] N. Josephy. Quasi-Newton methods for generalized equations , 1979 .
[9] Stephen M. Robinson,et al. Strongly Regular Generalized Equations , 1980, Math. Oper. Res..
[10] Stephen M. Robinson,et al. Generalized Equations , 1982, ISMP.
[11] Jong-Shi Pang,et al. Iterative methods for variational and complementarity problems , 1982, Math. Program..
[12] S. M. Robinson. Generalized equations and their solutions, part II: Applications to nonlinear programming , 1982 .
[13] Martin Grötschel,et al. Mathematical Programming The State of the Art, XIth International Symposium on Mathematical Programming, Bonn, Germany, August 23-27, 1982 , 1983, ISMP.
[14] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[15] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[16] M. Kojima,et al. EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS , 1986 .
[17] B. Kummer. NEWTON's METHOD FOR NON-DIFFERENTIABLE FUNCTIONS , 1988, Advances in Mathematical Optimization.
[18] Patrick T. Harker,et al. Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach , 1990, Math. Program..
[19] Patrick T. Harker,et al. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..
[20] Jong-Shi Pang,et al. Newton's Method for B-Differentiable Equations , 1990, Math. Oper. Res..
[21] A. Shapiro. On concepts of directional differentiability , 1990 .
[22] Jong-Shi Pang,et al. A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems , 1991, Math. Program..
[23] Stephen M. Robinson,et al. An Implicit-Function Theorem for a Class of Nonsmooth Functions , 1991, Math. Oper. Res..
[24] W. Oettli,et al. Advances in Optimization , 1992 .
[25] B. Kummer. Newton’s Method Based on Generalized Derivatives for Nonsmooth Functions: Convergence Analysis , 1992 .
[26] Stephen M. Robinson,et al. Normal Maps Induced by Linear Transformations , 1992, Math. Oper. Res..
[27] A. Fischer. A special newton-type optimization method , 1992 .
[28] Jong-Shi Pang,et al. Nonsmooth Equations: Motivation and Algorithms , 1993, SIAM J. Optim..
[29] Jong-Shi Pang,et al. NE/SQP: A robust algorithm for the nonlinear complementarity problem , 1993, Math. Program..
[30] Liqun Qi,et al. A nonsmooth version of Newton's method , 1993, Math. Program..
[31] Bintong Chen,et al. A Non-Interior-Point Continuation Method for Linear Complementarity Problems , 1993, SIAM J. Matrix Anal. Appl..
[32] Liqun Qi,et al. Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations , 1993, Math. Oper. Res..
[33] Daniel Ralph,et al. Global Convergence of Damped Newton's Method for Nonsmooth Equations via the Path Search , 1994, Math. Oper. Res..
[34] Patrick T. Harker,et al. A nonsmooth Newton method for variational inequalities, II: Numerical results , 1994, Math. Program..
[35] Michael C. Ferris,et al. The GAMS Callable Program Library for Variational and Complementarity Solvers , 1994 .
[36] Patrick T. Harker,et al. A nonsmooth Newton method for variational inequalities, I: Theory , 1994, Math. Program..
[37] C. Kanzow. Some equation-based methods for the nonlinear complementarity problem , 1994 .
[38] S. M. Robinson. Newton's method for a class of nonsmooth functions , 1994 .
[39] A. Fischer. An NCP–Function and its Use for the Solution of Complementarity Problems , 1995 .
[40] J. M. Martínez,et al. Inexact Newton methods for solving nonsmooth equations , 1995 .
[41] Olvi L. Mangasarian,et al. Smoothing methods for convex inequalities and linear complementarity problems , 1995, Math. Program..
[42] Liqun Qi,et al. Trust Region Algorithms for Solving Nonsmooth Equations , 1995, SIAM J. Optim..
[43] S. Dirkse,et al. Mcplib: a collection of nonlinear mixed complementarity problems , 1995 .
[44] S. Dirkse,et al. The path solver: a nommonotone stabilization scheme for mixed complementarity problems , 1995 .
[45] D. Du,et al. Recent Advances in Nonsmooth Optimization , 1995 .
[46] Jirí V. Outrata,et al. A Newton method for a class of quasi-variational inequalities , 1995, Comput. Optim. Appl..
[47] L. Qi,et al. A Globally Convergent Successive Approximation Method for Severely Nonsmooth Equations , 1995 .
[48] Patrick T. Harker,et al. A continuation method for monotone variational inequalities , 1995, Math. Program..
[49] J. J. Moré,et al. Smoothing of mixed complementarity problems , 1995 .
[50] Francisco Facchinei,et al. A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems , 1997, Math. Program..
[51] Masao Fukushima,et al. Modified Newton methods for solving a semismooth reformulation of monotone complementarity problems , 1996, Math. Program..
[52] S. Billups. Algorithms for complementarity problems and generalized equations , 1996 .
[53] Andreas Fischer,et al. Solution of monotone complementarity problems with locally Lipschitzian functions , 1997, Math. Program..
[54] Christian Kanzow,et al. On the resolution of monotone complementarity problems , 1996, Comput. Optim. Appl..
[55] Francisco Facchinei,et al. A semismooth equation approach to the solution of nonlinear complementarity problems , 1996, Math. Program..
[56] P. Tseng. Growth behavior of a class of merit functions for the nonlinear complementarity problem , 1996 .
[57] Olvi L. Mangasarian,et al. A class of smoothing functions for nonlinear and mixed complementarity problems , 1996, Comput. Optim. Appl..
[58] Houyuan Jiang,et al. Semismoothness and Superlinear Convergence in Nonsmooth Optimization and Nonsmooth Equations , 1996 .
[59] F. Giannessi,et al. Nonlinear Optimization and Applications , 1996, Springer US.
[60] M. Fukushima. Merit Functions for Variational Inequality and Complementarity Problems , 1996 .
[61] Christian Kanzow,et al. Some Noninterior Continuation Methods for Linear Complementarity Problems , 1996, SIAM J. Matrix Anal. Appl..
[62] F. Facchinei,et al. Inexact Newton Methods for Semismooth Equations with Applications to Variational Inequality Problems , 1996 .
[63] Jorge J. Moré,et al. Global Methods for Nonlinear Complementarity Problems , 1994, Math. Oper. Res..
[64] Michael C. Ferris,et al. QPCOMP: A quadratic programming based solver for mixed complementarity problems , 1997, Math. Program..
[65] Houyuan Jiang. Unconstrained minimization approaches to nonlinear complementarity problems , 1996, J. Glob. Optim..
[66] Michael C. Ferris,et al. ACCESSING REALISTIC MIXED COMPLEMENTARITY PROBLEMS WITHIN MATLAB , 1996 .
[67] Patrick T. Harker,et al. Smooth Approximations to Nonlinear Complementarity Problems , 1997, SIAM J. Optim..
[68] Elijah Polak,et al. Optimization: Algorithms and Consistent Approximations , 1997 .
[69] C. Kanzow,et al. A Penalized Fischer-Burmeister Ncp-Function: Theoretical Investigation And Numerical Results , 1997 .
[70] Francisco Facchinei,et al. A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm , 1997, SIAM J. Optim..
[71] Xiaojun ChenyMay. A Global and Local Superlinear Continuation-Smoothing Method for P0 +R0 and Monotone NCP , 1997 .
[72] Stephen J. Wright. Primal-Dual Interior-Point Methods , 1997, Other Titles in Applied Mathematics.
[73] Michael C. Ferris,et al. Complementarity and variational problems : state of the art , 1997 .
[74] Houyuan Jiang,et al. A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems , 1997 .
[75] Defeng Sun,et al. Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems , 1997, SIAM J. Optim..
[76] F. Facchinei,et al. A semismooth Newton method for variational in - equalities: The case of box constraints , 1997 .
[77] Houyuan Jiang,et al. Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations , 1997, Math. Oper. Res..
[78] Xiaojun Chen,et al. Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities , 1998, Math. Comput..
[79] Francisco Facchinei,et al. Regularity Properties of a Semismooth Reformulation of Variational Inequalities , 1998, SIAM J. Optim..
[80] M. Seetharama Gowda,et al. On the Limiting Behavior of the Trajectory of Regularized Solutions of a P0-Complementarity Problem , 1998 .
[81] P. Tseng. Analysis Of A Non-Interior Continuation Method Based On Chen-Mangasarian Smoothing Functions For Com , 1998 .
[82] James V. Burke,et al. The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems , 1998, Math. Oper. Res..
[83] Houyuan Jiang,et al. Global and Local Superlinear Convergence Analysis of Newton-Type Methods for Semismooth Equations with Smooth Least Squares , 1998 .
[84] Christian Kanzow,et al. A continuation method for (strongly) monotone variational inequalities , 1998, Math. Program..
[85] J. Burke,et al. A Non-Interior Predictor-Corrector Path-Following Method for LCP , 1998 .
[86] L. Qi,et al. Numerical Experiments for a Class of Squared Smoothing Newton Methods for Box Constrained Variational Inequality Problems , 1998 .
[87] Helmut Kleinmichel,et al. A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems , 1998, Comput. Optim. Appl..
[88] Masao Fukushima,et al. A Globally Convergent Sequential Quadratic Programming Algorithm for Mathematical Programs with Linear Complementarity Constraints , 1998, Comput. Optim. Appl..
[89] Christian Kanzow,et al. A QP-free constrained Newton-type method for variational inequality problems , 1999, Math. Program..
[90] Christian Kanzow,et al. Jacobian Smoothing Methods for Nonlinear Complementarity Problems , 1999, SIAM J. Optim..
[91] Mohamed A. Tawhid,et al. Existence and Limiting Behavior of Trajectories Associated with P0-equations , 1999, Comput. Optim. Appl..
[92] Defeng Sun,et al. On NCP-Functions , 1999, Comput. Optim. Appl..
[93] Defeng Sun,et al. A New Unconstrained Differentiable Merit Function for Box Constrained Variational Inequality Problems and a Damped Gauss-Newton Method , 1999, SIAM J. Optim..
[94] Xiaojun Chen,et al. A Global and Local Superlinear Continuation-Smoothing Method for P0 and R0 NCP or Monotone NCP , 1999, SIAM J. Optim..
[95] Li-Zhi Liao,et al. A Smoothing Newton Method for Extended Vertical Linear Complementarity Problems , 1999, SIAM J. Matrix Anal. Appl..
[96] James V. Burke,et al. A polynomial time interior–point path–following algorithm for LCP based on Chen–Harker–Kanzow smoothing techniques , 1999, Math. Program..
[97] Bintong Chen,et al. A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen-Mangasarian Smoothing Functions , 1999, SIAM J. Optim..
[98] D. Sun. A Regularization Newton Method for Solving Nonlinear Complementarity Problems , 1999 .
[99] Keisuke Hotta,et al. Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems , 1999, Math. Program..
[100] Houyuan Jiang. Global Convergence Analysis of the Generalized Newton and Gauss-Newton Methods of the Fischer Burmeister Equation for the Complementarity Problem , 1999 .
[101] Francisco Facchinei,et al. A smoothing method for mathematical programs with equilibrium constraints , 1999, Math. Program..
[102] Y. Ye,et al. On Homotopy-Smoothing Methods for Variational Inequalities , 1999 .
[103] F. Facchinei,et al. Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems , 1999 .
[104] Ji-Ming Peng,et al. A non-interior continuation method for generalized linear complementarity problems , 1999, Math. Program..
[105] L. Qi. Regular Pseudo-Smooth NCP and BVIP Functions and Globally and Quadratically Convergent Generalized Newton Methods for Complementarity and Variational Inequality Problems , 1999 .
[106] Li-Zhi Liao,et al. A Smoothing Newton Method for General Nonlinear Complementarity Problems , 2000, Comput. Optim. Appl..
[107] Song Xu,et al. A non–interior predictor–corrector path following algorithm for the monotone linear complementarity problem , 2000, Math. Program..
[108] Xiaojun Chen,et al. A Global Linear and Local Quadratic Continuation Smoothing Method for Variational Inequalities with Box Constraints , 2000, Comput. Optim. Appl..
[109] Francisco Facchinei,et al. A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems , 2000, Comput. Optim. Appl..
[110] Defeng Sun,et al. A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities , 2000, Math. Program..
[111] Houduo Qi,et al. A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions , 1999, SIAM J. Optim..
[112] Defeng Sun,et al. Improving the convergence of non-interior point algorithms for nonlinear complementarity problems , 2000, Math. Comput..
[113] Daniel Ralph,et al. Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints , 1999, SIAM J. Optim..
[114] Song Xu,et al. The global linear convergence of an infeasible non-interior path-following algorithm for complementarity problems with uniform P-functions , 2000, Math. Program..
[115] appear in SIAM Journal on Optimization. , .