%0 Journal Article
%T Hybrid Symbolic-Numeric Computation<br>符号和数值混合计算
%A ZHI Lihong
%A <br>支丽红
%J 系统科学与数学
%D 2008
%I 
%X Symbolic computation and numeric computation are two types of computation for solving problems arising from science and engineering. Symbolic computation produces exact global solutions but is usually very expensive due to large symbolic expression; In contrast, numeric computation is fast but only produces approximate local solutions. Especially, for ill-conditioned problems, numeric algorithms converge very slowly and may return wrong results sometimes. In this paper, we emphasize the relationship between symbolic computation and numeric computation and explain how to integrate these two computationseffectively to solve problems which can not be solved by using one type of computation. We also introduce some new results in the emerging area of hybrid symbolic-numeric computation.
%K Symbolic computation
%K numerical computation
%K hybrid computation
%K structure matrix
%K optimization method<br>符号计算
%K 数值计算
%K 混合计算
%K 结构矩阵
%K 最优化方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=3CD4202065CF2A98D856D02129F38E8A&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=5D311CA918CA9A03&sid=FC27EB98080C89E6&eid=33C2C2DAF31F219B&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=110