{"title":"用指数收敛的改进神经网络求解凸二次规划问题","authors":"Youshen Xia, G. Feng","doi":"10.1109/ICNNSP.2003.1279271","DOIUrl":null,"url":null,"abstract":"This paper presents using a modified neural network with exponential convergence to solve strictly quadratic programming problems with general linear constraints. It is shown that the proposed neural network is globally convergent to a unique optimal solution within a finite time. Compared with the existing the primal-dual neural network and the dual neural network for solving such problems, the proposed neural network has a low complexity for implementation and can be guaranteed to have a exponential convergence rate.","PeriodicalId":336216,"journal":{"name":"International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Solving convex quadratic programming problems by an modified neural network with exponential convergence\",\"authors\":\"Youshen Xia, G. Feng\",\"doi\":\"10.1109/ICNNSP.2003.1279271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents using a modified neural network with exponential convergence to solve strictly quadratic programming problems with general linear constraints. It is shown that the proposed neural network is globally convergent to a unique optimal solution within a finite time. Compared with the existing the primal-dual neural network and the dual neural network for solving such problems, the proposed neural network has a low complexity for implementation and can be guaranteed to have a exponential convergence rate.\",\"PeriodicalId\":336216,\"journal\":{\"name\":\"International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNNSP.2003.1279271\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Neural Networks and Signal Processing, 2003. Proceedings of the 2003","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNNSP.2003.1279271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving convex quadratic programming problems by an modified neural network with exponential convergence
This paper presents using a modified neural network with exponential convergence to solve strictly quadratic programming problems with general linear constraints. It is shown that the proposed neural network is globally convergent to a unique optimal solution within a finite time. Compared with the existing the primal-dual neural network and the dual neural network for solving such problems, the proposed neural network has a low complexity for implementation and can be guaranteed to have a exponential convergence rate.