摘要
将Reid和Zhi提出的符号数值混合消元方法应用于求解多项式优化问题,将多项式优化问题转化为矩阵最小特征值求解问题,并在Maple软件中实现了算法.
A method based on Reid-Zhi＇s symbolic-numeric elimination method is presented to handle polynomial optimization problems,which have a polynomial objective function and polynomial constraints.The polynomial optimization problem is transformed into an extreme eigenvalue problem related to the objective-function matrix.Finally,the algorithm is implemented in Maple.
出处
《系统科学与数学》
CSCD
北大核心
2010年第11期1459-1464,共6页
Journal of Systems Science and Mathematical Sciences
基金
教育部博士点基金新教师(20070200009)项目资助
关键词
几何对合形式
符号数值混合方法
多项式优化问题
Geometric involutive form
symbolic-numeric method
polynomial optimization problem
