{"title":"复变量二次规划问题的封闭解","authors":"M. Hanna, M. Simaan","doi":"10.1109/CDC.1984.272180","DOIUrl":null,"url":null,"abstract":"A special quadratic programming problem in complex variables is investigated for a closed form solution. Two different approaches are used. The first is a direct approach that leads to a family of solutions because of a singular matrix encountered in the solution process. The second is an indirect approach based on parametrizing the objective function. It leads to a solution which is a member in the above family and which is shown to be bounded.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A closed form solution to a quadratic programming problem in complex variables\",\"authors\":\"M. Hanna, M. Simaan\",\"doi\":\"10.1109/CDC.1984.272180\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A special quadratic programming problem in complex variables is investigated for a closed form solution. Two different approaches are used. The first is a direct approach that leads to a family of solutions because of a singular matrix encountered in the solution process. The second is an indirect approach based on parametrizing the objective function. It leads to a solution which is a member in the above family and which is shown to be bounded.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"98 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272180\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272180","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A closed form solution to a quadratic programming problem in complex variables
A special quadratic programming problem in complex variables is investigated for a closed form solution. Two different approaches are used. The first is a direct approach that leads to a family of solutions because of a singular matrix encountered in the solution process. The second is an indirect approach based on parametrizing the objective function. It leads to a solution which is a member in the above family and which is shown to be bounded.