维数较小时线性规划的拉斯维加斯算法

[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science Pub Date : 1988-10-24 DOI:10.1109/SFCS.1988.21961

K. Clarkson

{"title":"维数较小时线性规划的拉斯维加斯算法","authors":"K. Clarkson","doi":"10.1109/SFCS.1988.21961","DOIUrl":null,"url":null,"abstract":"An algorithm for solving linear programming problems is given. The expected number of arithmetic operations required by the algorithm is given. The expectation is with respect to the random choices made by the algorithm, and the bound holds for any given input. The technique can be extended to other convex programming problems.<<ETX>>","PeriodicalId":113255,"journal":{"name":"[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"96","resultStr":"{\"title\":\"A Las Vegas algorithm for linear programming when the dimension is small\",\"authors\":\"K. Clarkson\",\"doi\":\"10.1109/SFCS.1988.21961\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An algorithm for solving linear programming problems is given. The expected number of arithmetic operations required by the algorithm is given. The expectation is with respect to the random choices made by the algorithm, and the bound holds for any given input. The technique can be extended to other convex programming problems.<<ETX>>\",\"PeriodicalId\":113255,\"journal\":{\"name\":\"[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"96\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFCS.1988.21961\",\"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 1988] 29th Annual Symposium on Foundations of Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1988.21961","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 96

摘要

给出了求解线性规划问题的一种算法。给出了算法所需的预期算术运算次数。期望是关于算法做出的随机选择的，对于任何给定的输入，边界都是成立的。该技术可以推广到其他凸规划问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A Las Vegas algorithm for linear programming when the dimension is small

An algorithm for solving linear programming problems is given. The expected number of arithmetic operations required by the algorithm is given. The expectation is with respect to the random choices made by the algorithm, and the bound holds for any given input. The technique can be extended to other convex programming problems.<>

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

[Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science

自引率

0.00%

发文量

期刊最新文献

Combinatorial complexity bounds for arrangements of curves and surfaces Genus g graphs have pagenumber O( square root g) Optimal parallel algorithm for the Hamiltonian cycle problem on dense graphs Covering polygons is hard New upper bounds in Klee's measure problem