Mathematical Sciences: Numerical Solutions of Polynomial Systems

这个研究项目与寻根有关 亏多项式 多项式系统是 如果孤立根的数量小于 根的总数。 有效的主要工具 解决方案预计是同伦方法， PI已成功用于非缺陷系统。 多项式系统的根出现在许多实际问题中， 问题 预计该项目的研究成果 对科学的所有主要分支都有影响， 工程.

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.