符号非异矩阵的S＊—开拓  

S *-matrix and Sign Nonsingular Matrix

作　　者：贺金陵[1] 郭镜明[1] 邵嘉裕[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2001年第4期464-469,共6页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目 ( 198310 5 0 ) ;高等学校博士点基金资助项目 ( 2 0 0 0 0 2 470 5 )

摘　　要：198 4年 ,V .Klee ,R .Lander,R .Manber给出了一个对角元全负的SNS阵A可开拓为S 阵的一个充分条件 ,但是这个充分条件不是必要的 .在此将给出一个对角元全负的SNS阵可开拓为S 阵的若干充要条件 .这实际上也解决了ShaoJia yu和HwangSuk geun提出的关于nearlyLThe set of real matrices with the same sign pattern as A is called the qualitative class of A,denoted as Q (A).A square real matrix A is called a sign nonsingular matrix (abbreviated SNS matrix),if every matrix in Q (A) is nonsingular.Ais called an S * matrix,if each matrix obtained from A by deleting one of its columns is an SNS matrix.In this paper,we study the relationships between SNS matrix and S * matrix,sign solvable linear systems and sign solvable digraphs.And solvable an important special case of a problem about nearly L matrices proposed by Jia Yu Shao and Suk Geun Hwang.

关 键 词：矩阵 有向图 符号非异矩阵 S＊-开拓 SNS阵 S＊-阵 符号可解法 

分 类 号：O151.21[理学—数学]