A nonmonotone smoothing Newton method for system of nonlinear inequalities based on a new smoothing function

Computational and Applied Mathematics ◽

10.1007/s40314-019-0856-y ◽

2019 ◽

Vol 38 (2) ◽

Author(s):

Yuan Liuyang ◽

Cui Fei ◽

Wan Zhongping ◽

Li Weigang ◽

Wang Wenbo

Keyword(s):

Newton Method ◽

Smoothing Newton Method ◽

Smoothing Function

Download Full-text

A smoothing Newton method based on a one-parametric class of smoothing function for SOCCP

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-010-0414-7 ◽

2010 ◽

Vol 36 (1-2) ◽

pp. 473-487 ◽

Author(s):

Lixia Liu ◽

Sanyang Liu

Keyword(s):

Newton Method ◽

Smoothing Newton Method ◽

Smoothing Function ◽

Parametric Class

Download Full-text

Smoothing Newton method for generalized complementarity problems based on a new smoothing function

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.170 ◽

2014 ◽

Vol 231 ◽

pp. 160-168 ◽

Author(s):

Xiuyun Zheng ◽

Jiarong Shi

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Smoothing Newton Method ◽

Smoothing Function ◽

Generalized Complementarity Problems

Download Full-text

A smoothing Newton method for second-order cone optimization based on a new smoothing function

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.06.015 ◽

2011 ◽

Vol 218 (4) ◽

pp. 1317-1329 ◽

Author(s):

Jingyong Tang ◽

Guoping He ◽

Li Dong ◽

Liang Fang

Keyword(s):

Newton Method ◽

Second Order ◽

Smoothing Newton Method ◽

Smoothing Function ◽

Second Order Cone

Download Full-text

A variant smoothing Newton method for P0-NCP based on a new smoothing function

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.06.012 ◽

2009 ◽

Vol 225 (1) ◽

pp. 1-8 ◽

Author(s):

Jian Zhang ◽

Ke-Cun Zhang

Keyword(s):

Newton Method ◽

Smoothing Newton Method ◽

Smoothing Function

Download Full-text

Predictor-Corrector Smoothing Newton Method, Based on a New Smoothing Function, for Solving the Nonlinear Complementarity Problem with a P 0 Function

Journal of Optimization Theory and Applications ◽

10.1023/a:1023648305969 ◽

2003 ◽

Vol 117 (1) ◽

pp. 39-68 ◽

Author(s):

Z.H. Huang ◽

J. Han ◽

Z. Chen

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Nonlinear Complementarity Problem ◽

Smoothing Newton Method ◽

Smoothing Function ◽

Nonlinear Complementarity ◽

Predictor Corrector

Download Full-text

Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1014861331301 ◽

2002 ◽

Vol 113 (1) ◽

pp. 121-147 ◽

Author(s):

L. Qi ◽

D. Sun

Keyword(s):

Variational Inequality ◽

Newton Method ◽

Variational Inequality Problems ◽

Smoothing Newton Method ◽

Smoothing Functions

Download Full-text

A regularized smoothing Newton method for solving SOCCPs based on a new smoothing C-function

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.116 ◽

2014 ◽

Vol 230 ◽

pp. 315-329 ◽

Author(s):

Na Huang ◽

Changfeng Ma

Keyword(s):

Newton Method ◽

Smoothing Newton Method

Download Full-text

Sub-quadratic convergence of a smoothing Newton method for symmetric cone complementarity problems

The 27th Chinese Control and Decision Conference (2015 CCDC) ◽

10.1109/ccdc.2015.7162450 ◽

2015 ◽

Author(s):

Yanling He ◽

Chunyan Liu

Keyword(s):

Newton Method ◽

Quadratic Convergence ◽

Complementarity Problems ◽

Symmetric Cone ◽

Smoothing Newton Method

Download Full-text

A Squared Smoothing Newton Method for Second-Order Cone Programming

2010 Third International Conference on Information and Computing ◽

10.1109/icic.2010.185 ◽

2010 ◽

Author(s):

Xiaoni Chi ◽

Xiaoyong Liao

Keyword(s):

Newton Method ◽

Second Order ◽

Smoothing Newton Method ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

Download Full-text

A Smoothing Newton Method for Solving Absolute Value Equations

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.765-767.703 ◽

2013 ◽

Vol 765-767 ◽

pp. 703-708 ◽

Author(s):

Xiao Qin Jiang

Keyword(s):

Newton Method ◽

Numerical Results ◽

Smoothing Newton Method ◽

Absolute Value Equations ◽

In this paper, we reformulate the system of absolute value equations as afamily of parameterized smooth equations and propose a smoothing Newton method tosolve this class of problems. we prove that the method is globally and locally quadraticallyconvergent under suitable assumptions. The preliminary numerical results demonstratethat the method is effective.

Download Full-text