{"title":"在频带并行中并行执行嵌套循环","authors":"Z. Chen, C.-C. Chang, C. Tsai","doi":"10.1109/ICPADS.1994.590316","DOIUrl":null,"url":null,"abstract":"How to execute a nested loop in band parallelism on a multiprocessor system is addressed. The mathematical models of the waveband method, the hyperplane method, the modified hyperplane method and the linear band method are derived and compared. Since the structures of the real multiprocessor systems are at most 3-dimensional, in order to map the loop into these systems, an efficient algorithm for finding the optimal linear band in 2-dimensional index space, instead of a high dimensional index space, is proposed.","PeriodicalId":154429,"journal":{"name":"Proceedings of 1994 International Conference on Parallel and Distributed Systems","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parallel execution of nested loops in band parallelism\",\"authors\":\"Z. Chen, C.-C. Chang, C. Tsai\",\"doi\":\"10.1109/ICPADS.1994.590316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"How to execute a nested loop in band parallelism on a multiprocessor system is addressed. The mathematical models of the waveband method, the hyperplane method, the modified hyperplane method and the linear band method are derived and compared. Since the structures of the real multiprocessor systems are at most 3-dimensional, in order to map the loop into these systems, an efficient algorithm for finding the optimal linear band in 2-dimensional index space, instead of a high dimensional index space, is proposed.\",\"PeriodicalId\":154429,\"journal\":{\"name\":\"Proceedings of 1994 International Conference on Parallel and Distributed Systems\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1994 International Conference on Parallel and Distributed Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPADS.1994.590316\",\"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 of 1994 International Conference on Parallel and Distributed Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPADS.1994.590316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parallel execution of nested loops in band parallelism
How to execute a nested loop in band parallelism on a multiprocessor system is addressed. The mathematical models of the waveband method, the hyperplane method, the modified hyperplane method and the linear band method are derived and compared. Since the structures of the real multiprocessor systems are at most 3-dimensional, in order to map the loop into these systems, an efficient algorithm for finding the optimal linear band in 2-dimensional index space, instead of a high dimensional index space, is proposed.