{"title":"一种改进的混合共轭梯度法","authors":"Wen Jia , Jizhou Zong , Xiaodong Wang","doi":"10.1016/j.sepro.2011.11.069","DOIUrl":null,"url":null,"abstract":"<div><p>Conjugate gradient method is an important and efficient method to solve the unconstrained optimization problems, especially for large scale problems. Based on the mixed conjugate gradient method proposed by Jing and Deng <span>[1]</span>, we improve the mixed conjugate gradient method and prove the global convergence under a sufficient condition. At last, some numerical experiments from engineering are shown.</p></div>","PeriodicalId":101207,"journal":{"name":"Systems Engineering Procedia","volume":"4 ","pages":"Pages 219-225"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.sepro.2011.11.069","citationCount":"3","resultStr":"{\"title\":\"An Improved Mixed Conjugate Gradient Method\",\"authors\":\"Wen Jia , Jizhou Zong , Xiaodong Wang\",\"doi\":\"10.1016/j.sepro.2011.11.069\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Conjugate gradient method is an important and efficient method to solve the unconstrained optimization problems, especially for large scale problems. Based on the mixed conjugate gradient method proposed by Jing and Deng <span>[1]</span>, we improve the mixed conjugate gradient method and prove the global convergence under a sufficient condition. At last, some numerical experiments from engineering are shown.</p></div>\",\"PeriodicalId\":101207,\"journal\":{\"name\":\"Systems Engineering Procedia\",\"volume\":\"4 \",\"pages\":\"Pages 219-225\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.sepro.2011.11.069\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems Engineering Procedia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2211381911002220\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems Engineering Procedia","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211381911002220","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Conjugate gradient method is an important and efficient method to solve the unconstrained optimization problems, especially for large scale problems. Based on the mixed conjugate gradient method proposed by Jing and Deng [1], we improve the mixed conjugate gradient method and prove the global convergence under a sufficient condition. At last, some numerical experiments from engineering are shown.