Some classes of nonsingular matrices with applications to localize the real eigenvalues of real matrices

详细信息    查看全文

• 作者：Shu-Qian Shen^a ; ¹ ; ^{sqshen@upc.edu.cn" class="auth_mail} ; ^{shuqianshen@126.com" class="auth_mail} ; Juan Yu^a ; ^{yujuan@upc.edu.cn" class="auth_mail} ; Ting-Zhu Huang^b ; ² ; ^{tzhuang@uestc.edu.cn" class="auth_mail} ; ^{tingzhuhuang@126.com" class="auth_mail}
• 关键词：15A18 ; 15A42 ; 15A48 ; 65F15
• 刊名：Linear Algebra and its Applications
• 出版年：15 April 2014
• 年：2014
• 卷：447
• 期：Complete
• 页码：74-87
• 全文大小：415 K

文摘

We first present some classes of nonsingular matrices, which are then applied to give some simple nonsingular criteria, inclusion and exclusion regions of real eigenvalues for real matrices. In particular, the real eigenvalues different from 1 of any stochastic matrix are localized more precisely.