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Obtaining exact value by approximate computations
作者姓名:Jing-zhong ZHANG Yong FENG~ Laboratory for Automated Reasoning and Programming  Chengdu Institute of Computer Applications  Chinese Academy of Sciences  Chengdu  China
作者单位:Jing-zhong ZHANG Yong FENG~ Laboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications,Chinese Academy of Sciences,Chengdu 610041,China
基金项目:国家重点基础研究发展计划(973计划);中国科学院基金
摘    要:Numerical approximate computations can solve large and complex problems fast.They have the advantage of high efficiency.However they only give approximate results,whereas we need exact results in some fields.There is a gap between approximate computations and exact results. In this paper,we build a bridge by which exact results can be obtained by numerical approximate computations.

收稿时间:14 June 2006
修稿时间:29 March 2007

Obtaining exact value by approximate computations
Jing-zhong ZHANG Yong FENG Laboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications,Chinese Academy of Sciences,Chengdu ,China.Obtaining exact value by approximate computations[J].Science in China(Mathematics),2007,50(9):1361-1368.
Authors:Jing-zhong Zhang  Yong Feng
Institution:Laboratory for Automated Reasoning and Programming, Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, China
Abstract:Numerical approximate computations can solve large and complex problems fast.They have the advantage of high efficiency.However they only give approximate results,whereas we need exact results in some fields.There is a gap between approximate computations and exact results. In this paper,we build a bridge by which exact results can be obtained by numerical approximate computations.
Keywords:numerical approximate computation  symbolic-numerical computation  continued fraction
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