{"title":"半群计算及其在超总线广播网格连接计算机上的应用","authors":"S. Horng","doi":"10.1109/ICPADS.1994.589892","DOIUrl":null,"url":null,"abstract":"Let /spl oplus/ be an associative operation on a domain D. The semigroup problem is to compute a/sub 0//spl oplus/a/sub 1//spl oplus/...a/sub N-1/, where a/sub i/ /spl isin/D, for 0/spl les/i<N. The algorithm described here runs on SIMD mesh-connected computers with hyperbus broadcasting using p processors in time O(N/p+logp), where p/spl les/N. It as shown optimal when p=N and optimal speedup when p log p=N. Based on the proposed semigroup algorithm, other applications such as matrix multiplication, all-pair shortest path, shortest path spanning tree, topological sorting and connected component problems can be also solved in the order of logarithmic time using N/sup 3/ processors.","PeriodicalId":154429,"journal":{"name":"Proceedings of 1994 International Conference on Parallel and Distributed Systems","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semigroup computation and its applications on mesh-connected computers with hyperbus broadcasting\",\"authors\":\"S. Horng\",\"doi\":\"10.1109/ICPADS.1994.589892\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let /spl oplus/ be an associative operation on a domain D. The semigroup problem is to compute a/sub 0//spl oplus/a/sub 1//spl oplus/...a/sub N-1/, where a/sub i/ /spl isin/D, for 0/spl les/i<N. The algorithm described here runs on SIMD mesh-connected computers with hyperbus broadcasting using p processors in time O(N/p+logp), where p/spl les/N. It as shown optimal when p=N and optimal speedup when p log p=N. Based on the proposed semigroup algorithm, other applications such as matrix multiplication, all-pair shortest path, shortest path spanning tree, topological sorting and connected component problems can be also solved in the order of logarithmic time using N/sup 3/ processors.\",\"PeriodicalId\":154429,\"journal\":{\"name\":\"Proceedings of 1994 International Conference on Parallel and Distributed Systems\",\"volume\":\"34 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.1994.589892\",\"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.1994.589892","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
设/spl o + /是域d上的一个关联运算。半群问题是计算a/sub 0//spl o + /a/sub 1//spl o + /…a/sub N-1/,其中a/sub i/ /spl等于/D,对于0/spl等于/i本文章由计算机程序翻译,如有差异,请以英文原文为准。
Semigroup computation and its applications on mesh-connected computers with hyperbus broadcasting
Let /spl oplus/ be an associative operation on a domain D. The semigroup problem is to compute a/sub 0//spl oplus/a/sub 1//spl oplus/...a/sub N-1/, where a/sub i/ /spl isin/D, for 0/spl les/i