Mathematical Sciences: Numerical Solutions of Polynomial Systems

数学科学：多项式系统的数值解

• 批准号: 8701349
• 负责人: Tien-Yien Li
• 金额: $ 4.37万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-08-01 至 1990-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701349&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Numerical; Solutions; Polynomial

This research project is concerned with root finding for deficient polynomials. A polynomial system is deficient if the number of isolated roots is less than the total number of roots. The main tool for an effective solution is expected to be the homotopy method which the PI has used successfully for non-deficient systems. Roots of polynomial systems appear in many practical problems. Research results from this project is expected to have an impact in all major branches of science and engineering.

该研究项目涉及缺陷多项式的求根。 如果孤立根的数量少于根的总数，则多项式系统是有缺陷的。 有效解决方案的主要工具预计是 PI 已成功用于非缺陷系统的同伦方法。 多项式系统的根出现在许多实际问题中。 该项目的研究成果预计将对科学和工程的所有主要分支产生影响。