{"title":"高效的MPI并行插值分解","authors":"Si-Lu Huang, Hang Xu, Xiao-Min Pan, X. Sheng","doi":"10.1109/ICMMT.2016.7762450","DOIUrl":null,"url":null,"abstract":"The interpolative decomposition (ID) has been employed to reduce the computational cost for low-rank approximation of matrices, such as the method of moments (MoM) system with many right-hand-sides. However, the memory requirement may be the bottleneck of the ID when the scale of the problem becomes very large. A parallel scheme of the ID is proposed to alleviate the difficulty. Numerical experiments have been conducted to validate efficiency of the proposed parallel scheme.","PeriodicalId":438795,"journal":{"name":"2016 IEEE International Conference on Microwave and Millimeter Wave Technology (ICMMT)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Efficient MPI parallel interpolative decomposition\",\"authors\":\"Si-Lu Huang, Hang Xu, Xiao-Min Pan, X. Sheng\",\"doi\":\"10.1109/ICMMT.2016.7762450\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The interpolative decomposition (ID) has been employed to reduce the computational cost for low-rank approximation of matrices, such as the method of moments (MoM) system with many right-hand-sides. However, the memory requirement may be the bottleneck of the ID when the scale of the problem becomes very large. A parallel scheme of the ID is proposed to alleviate the difficulty. Numerical experiments have been conducted to validate efficiency of the proposed parallel scheme.\",\"PeriodicalId\":438795,\"journal\":{\"name\":\"2016 IEEE International Conference on Microwave and Millimeter Wave Technology (ICMMT)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE International Conference on Microwave and Millimeter Wave Technology (ICMMT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMMT.2016.7762450\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE International Conference on Microwave and Millimeter Wave Technology (ICMMT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMMT.2016.7762450","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The interpolative decomposition (ID) has been employed to reduce the computational cost for low-rank approximation of matrices, such as the method of moments (MoM) system with many right-hand-sides. However, the memory requirement may be the bottleneck of the ID when the scale of the problem becomes very large. A parallel scheme of the ID is proposed to alleviate the difficulty. Numerical experiments have been conducted to validate efficiency of the proposed parallel scheme.