精确的和和点积与应用

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508) Pub Date : 2004-09-02 DOI:10.1109/CACSD.2004.1393867

T. Ogita, S. M. Rump, S. Oishi

{"title":"精确的和和点积与应用","authors":"T. Ogita, S. M. Rump, S. Oishi","doi":"10.1109/CACSD.2004.1393867","DOIUrl":null,"url":null,"abstract":"In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas","PeriodicalId":111199,"journal":{"name":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Accurate sum and dot product with applications\",\"authors\":\"T. Ogita, S. M. Rump, S. Oishi\",\"doi\":\"10.1109/CACSD.2004.1393867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas\",\"PeriodicalId\":111199,\"journal\":{\"name\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CACSD.2004.1393867\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CACSD.2004.1393867","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 8

摘要

在最近的一篇论文中，作者提出了一种新的快速算法，用于精确计算和包含浮点数的和和点积。在本文中，我们证明了这些算法可以用来计算一个非常精确的包含解的线性方程组。线性方程的精确解作为一个基本组成部分，在许多领域都有应用

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Accurate sum and dot product with applications

In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas

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

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)

自引率

0.00%

发文量