电脑桌面
添加小米粒文库到电脑桌面
安装后可以在桌面快捷访问

两种求解单调变分不等式的投影收缩算法的开题报告

两种求解单调变分不等式的投影收缩算法的开题报告_第1页
1/2
两种求解单调变分不等式的投影收缩算法的开题报告_第2页
2/2
精品文档---下载后可任意编辑两种求解单调变分不等式的投影收缩算法的开题报告题目:两种求解单调变分不等式的投影收缩算法摘要:单调变分不等式在优化理论与应用中有着广泛的应用。本文将介绍两种基于收缩操作的投影算法(Projection algorithm with contraction operation),用于求解单调变分不等式。第一种算法是基于倍数调整的投影收缩算法(Projection and Contraction Type I algorithm)。该算法基于将当前的变量值乘以一个可调整的倍数,然后将其投影回可行域内来实现收缩操作。该算法的收敛速度快,但不一定能够保证全局收敛性。第二种算法是基于可行域调整的投影收缩算法(Projection and Contraction Type II algorithm)。该算法基于将可行域进行扩张或缩小,然后将当前的变量值投影到扩张或缩小后的可行域内来实现收缩操作。该算法能够保证全局收敛性,但收敛速度相对较慢。本文将首先介绍单调变分不等式及其应用,然后详细介绍两种投影收缩算法及其收敛性分析,最后通过数值实验验证算法的有效性。关键词:单调变分不等式,投影算法,收缩操作,可行域调整,倍数调整,全局收敛性Abstract:Monotone variational inequalities have been widely used in optimization theory and applications. In this paper, we introduce two projection algorithms based on contraction operations for solving monotone variational inequalities.The first algorithm is the Projection and Contraction Type I algorithm based on scaling adjustment. This algorithm multiplies the current variable value by an adjustable scale and then projects it back into the feasible domain to achieve contraction operation. The algorithm has a fast convergence speed but may not guarantee global convergence.The second algorithm is the Projection and Contraction Type II algorithm based on feasible domain adjustment. This algorithm adjusts the feasible domain by expanding or contracting it, and then projects the current variable value into the expanded or contracted feasible domain to achieve 精品文档---下载后可任意编辑contraction operation. The algorithm can guarantee global convergence, but the convergence speed is relatively slower.This paper first introduces monotone variational inequalities and their applications, then details the two projection algorithms and their convergence analysis, and finally verifies the effectiveness of the algorithm through numerical experiments.Keywords: Monotone variational inequality, projection algorithm, contraction operation, feasible domain adjustment, scaling adjustment, global convergence.

1、当您付费下载文档后,您只拥有了使用权限,并不意味着购买了版权,文档只能用于自身使用,不得用于其他商业用途(如 [转卖]进行直接盈利或[编辑后售卖]进行间接盈利)。
2、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。
3、如文档内容存在违规,或者侵犯商业秘密、侵犯著作权等,请点击“违规举报”。

碎片内容

两种求解单调变分不等式的投影收缩算法的开题报告

确认删除?
VIP
微信客服
  • 扫码咨询
会员Q群
  • 会员专属群点击这里加入QQ群
客服邮箱
回到顶部