{"title":"基于ELSD及其拉格朗日对偶的SDP自对偶嵌入","authors":"Qinghong Zhang, Gang Chen, Ting Zhang","doi":"10.1109/CSO.2010.139","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the study of an embedding method for semi definite programming problems using Extended Lagrange-Slater dual (ELSD) and its Lagrangian dual. A theorem proved by de Clerk et al. in 1996 is revisited. A new proof is provided utilizing a result regarding the weak feasibility of a conic linear programming problem.","PeriodicalId":427481,"journal":{"name":"2010 Third International Joint Conference on Computational Science and Optimization","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Self-Dual Embedding for SDP Using ELSD and its Lagrangian Dual\",\"authors\":\"Qinghong Zhang, Gang Chen, Ting Zhang\",\"doi\":\"10.1109/CSO.2010.139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to the study of an embedding method for semi definite programming problems using Extended Lagrange-Slater dual (ELSD) and its Lagrangian dual. A theorem proved by de Clerk et al. in 1996 is revisited. A new proof is provided utilizing a result regarding the weak feasibility of a conic linear programming problem.\",\"PeriodicalId\":427481,\"journal\":{\"name\":\"2010 Third International Joint Conference on Computational Science and Optimization\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Third International Joint Conference on Computational Science and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSO.2010.139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Joint Conference on Computational Science and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2010.139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Self-Dual Embedding for SDP Using ELSD and its Lagrangian Dual
This paper is devoted to the study of an embedding method for semi definite programming problems using Extended Lagrange-Slater dual (ELSD) and its Lagrangian dual. A theorem proved by de Clerk et al. in 1996 is revisited. A new proof is provided utilizing a result regarding the weak feasibility of a conic linear programming problem.