摘要
研究了一类特殊的符号模式矩阵,即完全符号模式矩阵.运用组合论和矩阵理论的方法,将关于非负符号模式矩阵的有关结论推广到完全符号模式矩阵.刻画了完全符号模式矩阵的主子符号模式矩阵的幂等,给出了完全符号模式矩阵的符号幂等与允许幂等之间的关系,确定了符号幂等的完全符号模式矩阵的结构和种类.
A class of special sign pattern matrix which is full sign pattern matrix is studied. By using the methods of combinatorial theory and matrix theory, the results for nonnegative sign pattern matrix are extended to full sign pattern matrix. The idempotent of principal sub matrix is described; the relation between sign idempotent and allowance idempotent is researched. And the structure and classes of full sign idempotent sign pattern matrices are obtained.
出处
《新乡学院学报》
2013年第4期243-245,共3页
Journal of Xinxiang University
基金
山西省回国留学人员科研资助项目(2012-070)
关键词
符号模式矩阵
符号幂等
置换相似
种类
sign pattern matrix
sign idempotent
permutation similar
class
