{"title":"Strassen算法是构造矩阵运算快速算法的一种非最优的聚合、统一和消去三线性技术","authors":"V. Pan","doi":"10.1109/SFCS.1978.34","DOIUrl":null,"url":null,"abstract":"A new technique of trilinear operations of aggregating, uniting and canceling is introduced and applied to constructing fast linear non-commutative algorithms for matrix multiplication. The result is an asymptotic improvement of Strassen's famous algorithms for matrix operations.","PeriodicalId":346837,"journal":{"name":"19th Annual Symposium on Foundations of Computer Science (sfcs 1978)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"135","resultStr":"{\"title\":\"Strassen's algorithm is not optimal trilinear technique of aggregating, uniting and canceling for constructing fast algorithms for matrix operations\",\"authors\":\"V. Pan\",\"doi\":\"10.1109/SFCS.1978.34\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new technique of trilinear operations of aggregating, uniting and canceling is introduced and applied to constructing fast linear non-commutative algorithms for matrix multiplication. The result is an asymptotic improvement of Strassen's famous algorithms for matrix operations.\",\"PeriodicalId\":346837,\"journal\":{\"name\":\"19th Annual Symposium on Foundations of Computer Science (sfcs 1978)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"135\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"19th Annual Symposium on Foundations of Computer Science (sfcs 1978)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFCS.1978.34\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"19th Annual Symposium on Foundations of Computer Science (sfcs 1978)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1978.34","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Strassen's algorithm is not optimal trilinear technique of aggregating, uniting and canceling for constructing fast algorithms for matrix operations
A new technique of trilinear operations of aggregating, uniting and canceling is introduced and applied to constructing fast linear non-commutative algorithms for matrix multiplication. The result is an asymptotic improvement of Strassen's famous algorithms for matrix operations.