{"title":"无约束优化问题的混合共轭梯度法","authors":"B. Qiao, Liping Yang, Jie Liu, Yanru Yao","doi":"10.1109/CIS.2017.00121","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a mixed conjugate gradient method for unconstrained optimization problem based on the HS method and DY method. The new method has taken advantages of two methods. The global convergence of the mixed conjugate gradient method is proved under the Wolfe line search which is no need for the descent condition. The numerical experimental results on some classical problems show that the new method is efficient.","PeriodicalId":304958,"journal":{"name":"2017 13th International Conference on Computational Intelligence and Security (CIS)","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Mixed Conjugate Gradient Method for Unconstrained Optimization Problem\",\"authors\":\"B. Qiao, Liping Yang, Jie Liu, Yanru Yao\",\"doi\":\"10.1109/CIS.2017.00121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a mixed conjugate gradient method for unconstrained optimization problem based on the HS method and DY method. The new method has taken advantages of two methods. The global convergence of the mixed conjugate gradient method is proved under the Wolfe line search which is no need for the descent condition. The numerical experimental results on some classical problems show that the new method is efficient.\",\"PeriodicalId\":304958,\"journal\":{\"name\":\"2017 13th International Conference on Computational Intelligence and Security (CIS)\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 13th International Conference on Computational Intelligence and Security (CIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIS.2017.00121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 13th International Conference on Computational Intelligence and Security (CIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.2017.00121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Mixed Conjugate Gradient Method for Unconstrained Optimization Problem
In this paper, we propose a mixed conjugate gradient method for unconstrained optimization problem based on the HS method and DY method. The new method has taken advantages of two methods. The global convergence of the mixed conjugate gradient method is proved under the Wolfe line search which is no need for the descent condition. The numerical experimental results on some classical problems show that the new method is efficient.