首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Inertially arbitrary patterns
Authors:Yubin Gao  Yanling Shao
Institution:  a Department of Mathematics, North China Institute of Technology, Taiyuan, Shanxi, People's Republic of China
Abstract:An n×n sign pattern matrix A is an inertially arbitrary pattern (IAP) if each non-negative triple (rst) with r+s+t=n is the inertia of a matrix with sign pattern A. This paper considers the n×n(n≥2) skew-symmetric sign pattern Sn with each upper off-diagonal entry positive, the (1,1) entry negative, the (nn) entry positive, and every other diagonal entry zero. We prove that Sn is an IAP.
Keywords:Sign pattern  Inertia  Skew-symmetric sign pattern  AMS Classification: 15A18
本文献已被 InformaWorld 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号