Computing with Composed Functions

使用组合函数进行计算

• 批准号: 9972527
• 负责人: Hoon Hong
• 金额: $ 16.99万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-15 至 2001-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9972527&HistoricalAwards=false
• 关键词: Computing; Composed; Functions

This project aims to develop the theory, algorithms, and software for solving systems of equations made of composed functions efficiently, by utilizing their composition structure. The project will investigate methods for various symbolic and numeric operations such as multivariate subresultants, Groebner bases, characteristic sets, and Newton iterations that are fundamental to solving systems of equations. Composed functions arise very naturally and frequently in most moderate- to large-scale engineering computations. It is expected that the results of this research will have a broad impact on system solving in science and industry.

这个项目的目的是开发理论、算法和软件，通过利用组合函数的组合结构，有效地求解由组合函数组成的方程组。该项目将研究各种符号和数值运算的方法，如多元次结式、Groebner基、特征集和牛顿迭代，这些都是解方程系统的基础。复合函数在大多数中等规模到大规模的工程计算中非常自然和频繁地出现。预计本研究成果将对科学和工业领域的系统求解产生广泛的影响。