摘要
设A为n阶符号模式矩阵,若存在与A有相同符号模式的实矩阵C及n阶置换矩阵P,使得B=PTCP的各阶顺序主子式负正相间,则称A是嵌套蕴含稳定的.文中给出了星符号模式是嵌套蕴含稳定的完全刻划.
An n×n sign pattern matrix A is nested potentially stable, if there is a real matrix C in which it has same sign pattern with A and a permutation matrix P such thatk-th leading principal minor of P^TCP signed as (-1)~k\for all k=1,2,\:,n. In this paper, the complete characterization of nested potentialstability for the star sign pattern is obtained.
出处
《华北工学院学报》
2003年第6期399-402,共4页
Journal of North China Institute of Technology
基金
山西省自然科学基金资助项目
