|国家预印本平台
首页|半正定单调变分不等式的预测校正算法

半正定单调变分不等式的预测校正算法

Prediction-correctionMethod for Semidefinite Monotone Variational Inequalities

中文摘要英文摘要

本文主要研究关于单调半正定变分不等式的预测校正算法。通过变分不等式的三个常用的性质和半正定变分不等式的定义得到了单调半正定变分不等式的预测校正算法;预测校正 算法不仅可以解决一般的非线性函数的半正定互补问题,而且可以解决一类没有显式函数的半正定互补问题,只要求几个迭代点的函数值的信息就可以算出最优解来,这也正是半正定预测校正算法的优点。通过几个算例的计算,表明了预测校正算法的优点。

his paper is the introduction of the semidefinite monotone variational inequality , which is based on three fundamental inequalities and the definition of the semidefinite monotone variational inequality ; Some numerical examples illustrate the efficiency of the prediction-correction method, especially its effectiveness in solving the type of semidefinite complementarity problems without the manifestation expression of F(X). In this circumstance, the prediction-correction method can be brought into full play in reality in that the manifestation expression of F(X) is difficult or even impossible to obtain in real life.

雷开洪、杨成、徐海文、张黔川

数学

预测校正算法变分不等式问题半正定互补问题

semidefinite monotone variational inequality the prediction-correction method semidefinite complementarity problems.

雷开洪,杨成,徐海文,张黔川.半正定单调变分不等式的预测校正算法[EB/OL].(2008-03-12)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200803-285.点此复制

评论