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A New Inexactness Criterion for Approximate Logarithmic-Quadratic Proximal Methods
作者姓名:Abdellah  Bnouhachem
作者单位:Abdellah Bnouhachem School of Management Science and Engineering,Nanjing University,Nanjing 210093,China.
摘    要:Recently,a class of logarithmic-quadratic proximal(LQP)methods was intro- duced by Auslender,Teboulle and Ben-Tiba.The inexact versions of these methods solve the sub-problems in each iteration approximately.In this paper,we present a practical inexactness criterion for the inexact version of these methods.

关 键 词:变分不等式  单调算子  内部近似法  LQP  对数  二次方程
收稿时间:2003-12-24
修稿时间:2004-11-12

A New Inexactness Criterion for Approximate Logarithmic-Quadratic Proximal Methods
Abdellah Bnouhachem.A New Inexactness Criterion for Approximate Logarithmic-Quadratic Proximal Methods[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(1):74-81.
Authors:Abdellah Bnouhachem
Abstract:Recently,a class of logarithmic-quadratic proximal(LQP)methods was intro- duced by Auslender,Teboulle and Ben-Tiba.The inexact versions of these methods solve the sub-problems in each iteration approximately.In this paper,we present a practical inexactness criterion for the inexact version of these methods.
Keywords:Variational inequalities  maximal monotone operators  interior proximal methods
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