{"title":"在超立方体多处理机上求解代数Riccati方程","authors":"J. Gardiner, A. Laub","doi":"10.1145/63047.63116","DOIUrl":null,"url":null,"abstract":"A parallel algorithm for solving the algebraic Riccati equation is described and its performance on an Intel iPSC/d5 is reported. Three variations of the matrix sign function algorithm are compared. The best one showed efficiencies of about 60 percent on large problems.","PeriodicalId":299435,"journal":{"name":"Conference on Hypercube Concurrent Computers and Applications","volume":"144 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Solving the algebraic Riccati equation on a hypercube multiprocessor\",\"authors\":\"J. Gardiner, A. Laub\",\"doi\":\"10.1145/63047.63116\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A parallel algorithm for solving the algebraic Riccati equation is described and its performance on an Intel iPSC/d5 is reported. Three variations of the matrix sign function algorithm are compared. The best one showed efficiencies of about 60 percent on large problems.\",\"PeriodicalId\":299435,\"journal\":{\"name\":\"Conference on Hypercube Concurrent Computers and Applications\",\"volume\":\"144 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-01-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference on Hypercube Concurrent Computers and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/63047.63116\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference on Hypercube Concurrent Computers and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/63047.63116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving the algebraic Riccati equation on a hypercube multiprocessor
A parallel algorithm for solving the algebraic Riccati equation is described and its performance on an Intel iPSC/d5 is reported. Three variations of the matrix sign function algorithm are compared. The best one showed efficiencies of about 60 percent on large problems.