A regularized smoothing Newton method for solving the symmetric cone complementarity problem

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.06.013 ◽

2011 ◽

Vol 54 (9-10) ◽

pp. 2515-2527 ◽

Author(s):

Changfeng Ma

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Symmetric Cone Complementarity Problem

Download Full-text

A generalized smoothing Newton method for the symmetric cone complementarity problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.105 ◽

2015 ◽

Vol 264 ◽

pp. 335-345 ◽

Author(s):

Yuan-Min Li ◽

Deyun Wei

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Symmetric Cone Complementarity Problem

Download Full-text

A new nonmonotone smoothing Newton method for the symmetric cone complementarity problem with the Cartesian $$P_0$$-property

Mathematical Methods of Operations Research ◽

10.1007/s00186-020-00709-7 ◽

2020 ◽

Vol 92 (2) ◽

pp. 229-247

Author(s):

Xiangjing Liu ◽

Sanyang Liu

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Symmetric Cone Complementarity Problem

Download Full-text

A smoothing Newton method for symmetric cone complementarity problem

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-014-0768-3 ◽

2014 ◽

Vol 47 (1-2) ◽

pp. 175-191 ◽

Author(s):

Lixia Liu ◽

Sanyang Liu ◽

Yan Wu

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Symmetric Cone Complementarity Problem

Download Full-text

A new smoothing and regularization Newton method for the symmetric cone complementarity problem

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-016-1026-7 ◽

2016 ◽

Vol 55 (1-2) ◽

pp. 79-97 ◽

Author(s):

Ruijuan Liu

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Symmetric Cone ◽

Symmetric Cone Complementarity Problem

Download Full-text

Level-boundedness of the Penalized NR Function for Symmetric Cone Complementarity Problem

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2013.00337 ◽

2013 ◽

Vol 15 (4) ◽

pp. 337

Author(s):

Yunsheng ZHENG ◽

Leifu GAO

Keyword(s):

Complementarity Problem ◽

Symmetric Cone ◽

Symmetric Cone Complementarity Problem

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

Analysis of a smoothing Newton method for second-order cone complementarity problem

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-008-0224-3 ◽

2009 ◽

Vol 31 (1-2) ◽

pp. 459-473 ◽

Author(s):

Xiangsong Zhang ◽

Sanyang Liu ◽

Zhenhua Liu

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Second Order ◽

Smoothing Newton Method ◽

Second Order Cone

Download Full-text

A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems

SIAM Journal on Optimization ◽

10.1137/060676775 ◽

2008 ◽

Vol 19 (3) ◽

pp. 1028-1047 ◽

Author(s):

Lingchen Kong ◽

Jie Sun ◽

Naihua Xiu

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Symmetric Cone ◽

Smoothing Newton Method

Download Full-text

A projection and contraction method for symmetric cone complementarity problem

Optimization ◽

10.1080/02331934.2019.1590355 ◽

2019 ◽

Vol 68 (11) ◽

pp. 2195-2206 ◽

Author(s):

Sanyang Liu ◽

Xiangjing Liu ◽

Junfeng Chen

Keyword(s):

Complementarity Problem ◽

Symmetric Cone ◽

Contraction Method ◽

Projection And Contraction Method ◽

Symmetric Cone Complementarity Problem

Download Full-text

Quadratic convergence of a smoothing Newton method for symmetric cone programming without strict complementarity

10.1007/s11117-011-0126-8 ◽

2011 ◽

Vol 16 (2) ◽

pp. 297-319 ◽

Author(s):

Lingchen Kong

Keyword(s):

Newton Method ◽

Quadratic Convergence ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Strict Complementarity ◽

Cone Programming ◽

Symmetric Cone Programming

Download Full-text