一类非线性互补问题的改进非精确交替方向方法

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI:10.4208/eajam.150421.290721

Jiewen He

{"title":"一类非线性互补问题的改进非精确交替方向方法","authors":"Jiewen He","doi":"10.4208/eajam.150421.290721","DOIUrl":null,"url":null,"abstract":". Three types of improved inexact alternating direction methods for solving nonlinear complementarity problems with positive deﬁnite matrices and nonlinear terms are proposed. The convergence of the methods is proven. Numerical examples conﬁrm the theoretical analysis and show that the methods have advantages over similar existing methods, especially in large size problems.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems\",\"authors\":\"Jiewen He\",\"doi\":\"10.4208/eajam.150421.290721\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Three types of improved inexact alternating direction methods for solving nonlinear complementarity problems with positive deﬁnite matrices and nonlinear terms are proposed. The convergence of the methods is proven. Numerical examples conﬁrm the theoretical analysis and show that the methods have advantages over similar existing methods, especially in large size problems.\",\"PeriodicalId\":48932,\"journal\":{\"name\":\"East Asian Journal on Applied Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"East Asian Journal on Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/eajam.150421.290721\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"East Asian Journal on Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/eajam.150421.290721","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 3

摘要

.提出了三种改进的非精确交替方向方法来求解具有正定矩阵和非线性项的非线性互补问题。证明了这些方法的收敛性。数值算例证实了理论分析，并表明该方法比现有的类似方法具有优势，尤其是在大尺寸问题中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems

. Three types of improved inexact alternating direction methods for solving nonlinear complementarity problems with positive deﬁnite matrices and nonlinear terms are proposed. The convergence of the methods is proven. Numerical examples conﬁrm the theoretical analysis and show that the methods have advantages over similar existing methods, especially in large size problems.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.