{"title":"dawn -1000上广义特征问题的并行求解器","authors":"Xue-bin Chi","doi":"10.1109/APDC.1997.574025","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the parallel implementation of solving generalized eigenproblem of Hermitian type matrices on Dawning-1000. It arises from the theoretical analysis of nonlinear optical crystal structures. We use Cholesky factorisation, Househoulder transformation, bisection method and inverse iteration to complete the computation. The implementation is based on the BLAS library and communication function library provided on Dawning-1000. The numerical results show very good performance and the application in physics is satisfactory.","PeriodicalId":413925,"journal":{"name":"Proceedings. Advances in Parallel and Distributed Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Parallel solver of generalized eigenproblem on Dawning-1000\",\"authors\":\"Xue-bin Chi\",\"doi\":\"10.1109/APDC.1997.574025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the parallel implementation of solving generalized eigenproblem of Hermitian type matrices on Dawning-1000. It arises from the theoretical analysis of nonlinear optical crystal structures. We use Cholesky factorisation, Househoulder transformation, bisection method and inverse iteration to complete the computation. The implementation is based on the BLAS library and communication function library provided on Dawning-1000. The numerical results show very good performance and the application in physics is satisfactory.\",\"PeriodicalId\":413925,\"journal\":{\"name\":\"Proceedings. Advances in Parallel and Distributed Computing\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. Advances in Parallel and Distributed Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APDC.1997.574025\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. Advances in Parallel and Distributed Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APDC.1997.574025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parallel solver of generalized eigenproblem on Dawning-1000
In this paper, we consider the parallel implementation of solving generalized eigenproblem of Hermitian type matrices on Dawning-1000. It arises from the theoretical analysis of nonlinear optical crystal structures. We use Cholesky factorisation, Househoulder transformation, bisection method and inverse iteration to complete the computation. The implementation is based on the BLAS library and communication function library provided on Dawning-1000. The numerical results show very good performance and the application in physics is satisfactory.
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