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A Smoothing Newton Method for the Box Constrained Variational Inequality Problems 被引量:1
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作者 XIE Ya-jun MA Chang-feng 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期152-158,共7页
The box constrained variational inequality problem can be reformulated as a nonsmooth equation by using median operator.In this paper,we present a smoothing Newton method for solving the box constrained variational in... The box constrained variational inequality problem can be reformulated as a nonsmooth equation by using median operator.In this paper,we present a smoothing Newton method for solving the box constrained variational inequality problem based on a new smoothing approximation function.The proposed algorithm is proved to be well defined and convergent globally under weaker conditions. 展开更多
关键词 median operator variational inequality problem smoothing newton method global convergence
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解变分不等式问题的非单调非精确光滑牛顿法 被引量:1
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作者 丁小妹 王平 《莆田学院学报》 2018年第5期15-19,69,共6页
通过构造一个新的光滑逼近函数,将变分不等式问题等价转化为方程组问题,建立了解该方程组问题的非单调非精确光滑牛顿法,从而得到了原变分不等式问题的解。在一定条件下证明了该算法的全局收敛性和局部超线性收敛性。
关键词 变分不等式 全局收敛 局部超线性收敛 光滑牛顿法
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