scholarly journals Smoothing Newton Method for L 1 Soft Margin Data Classification Problem

2009 ◽  
pp. 543-551
Author(s):  
Weibing Chen ◽  
Hongxia Yin ◽  
Yingjie Tian
Keyword(s):  
Newton Method ◽  
Data Classification ◽  
Classification Problem ◽  
Smoothing Newton Method ◽  
Soft Margin

A Smoothing Newton Method for Solving Absolute Value Equations

2013 ◽  
Vol 765-767 ◽  
pp. 703-708 ◽  
Author(s):  
Xiao Qin Jiang
Keyword(s):  
Newton Method ◽  
Numerical Results ◽  
Smoothing Newton Method ◽  
Absolute Value Equations ◽  
Absolute Value

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.

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