A Survey of Some Nonsmooth Equations and Smoothing Newton Methods

Applied Optimization - Progress in Optimization ◽

10.1007/978-1-4613-3285-5_7 ◽

1999 ◽

pp. 121-146 ◽

Cited By ~ 31

Author(s):

L. Qi ◽

D. Sun

Keyword(s):

Nonsmooth Equations ◽

Newton Methods ◽

Smoothing Newton Methods

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Smoothing Newton Methods for Nonsmooth Dirichlet Problems

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods - Applied Optimization ◽

10.1007/978-1-4757-6388-1_4 ◽

1998 ◽

pp. 65-79 ◽

Cited By ~ 3

Author(s):

Xiaojun Chen ◽

Nami Matsunaga ◽

Tetsuro Yamamoto

Keyword(s):

Newton Methods ◽

Dirichlet Problems ◽

Smoothing Newton Methods

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Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems

SIAM Journal on Optimization ◽

10.1137/s1052623494274970 ◽

1997 ◽

Vol 7 (2) ◽

pp. 463-480 ◽

Cited By ~ 52

Author(s):

Defeng Sun ◽

Jiye Han

Keyword(s):

Nonsmooth Equations ◽

Newton Methods ◽

Quasi Newton

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Improved smoothing Newton methods for symmetric cone complementarity problems

Optimization Letters ◽

10.1007/s11590-010-0274-y ◽

2011 ◽

Vol 6 (3) ◽

pp. 471-487 ◽

Cited By ~ 6

Author(s):

Yuan Min Li ◽

Xing Tao Wang ◽

De Yun Wei

Keyword(s):

Complementarity Problems ◽

Symmetric Cone ◽

Newton Methods ◽

Smoothing Newton Methods

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Approximate Newton Methods for Nonsmooth Equations

Journal of Optimization Theory and Applications ◽

10.1023/a:1022606224224 ◽

1997 ◽

Vol 93 (2) ◽

pp. 373-394 ◽

Cited By ~ 24

Author(s):

H. Xu ◽

X. W. Chang

Keyword(s):

Nonsmooth Equations ◽

Newton Methods

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Globally Convergent Newton Methods for Nonsmooth Equations

Mathematics of Operations Research ◽

10.1287/moor.17.3.586 ◽

1992 ◽

Vol 17 (3) ◽

pp. 586-607 ◽

Cited By ~ 53

Author(s):

Shih-Ping Han ◽

Jong-Shi Pang ◽

Narayan Rangaraj

Keyword(s):

Nonsmooth Equations ◽

Newton Methods ◽

Globally Convergent

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The semismooth and smoothing Newton methods for solving Pareto eigenvalue problem

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.05.045 ◽

2012 ◽

Vol 36 (1) ◽

pp. 279-287 ◽

Cited By ~ 1

Author(s):

Changfeng Ma

Keyword(s):

Eigenvalue Problem ◽

Newton Methods ◽

Smoothing Newton Methods

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On superlinear convergence of quasi-Newton methods for nonsmooth equations

Operations Research Letters ◽

10.1016/s0167-6377(97)00012-6 ◽

1997 ◽

Vol 20 (5) ◽

pp. 223-228 ◽

Cited By ~ 9

Author(s):

Liqun Qi

Keyword(s):

Superlinear Convergence ◽

Nonsmooth Equations ◽

Newton Methods ◽

Quasi Newton

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Smoothing Newton methods for symmetric cone linear complementarity problem with the Cartesian $P$/$P_0$-property

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2011.7.53 ◽

2011 ◽

Vol 7 (1) ◽

pp. 53-66 ◽

Cited By ~ 3

Author(s):

Li-Xia Liu ◽

◽

Sanyang Liu ◽

Chun-Feng Wang ◽

◽

...

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cone ◽

Newton Methods ◽

Smoothing Newton Methods

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Solving Nonsmooth Equations by Means of Quasi-Newton Methods with Globalization

Recent Advances in Nonsmooth Optimization ◽

10.1142/9789812812827_0008 ◽

1995 ◽

pp. 121-140 ◽

Cited By ~ 10

Author(s):

Márcia A. Gomes-Ruggiero ◽

José Mario Martínez ◽

Sandra Augusta Santos

Keyword(s):

Nonsmooth Equations ◽

Newton Methods ◽

Quasi Newton

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Newton Methods for Solving Two Classes of Nonsmooth Equations

Applications of Mathematics ◽

10.1023/a:1013791923957 ◽

2001 ◽

Vol 46 (3) ◽

pp. 215-229 ◽

Cited By ~ 10

Author(s):

Yan Gao

Keyword(s):

Nonsmooth Equations ◽

Newton Methods

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