NOTE ON "ON THE SINGULAR "VECTORS" OF THE LYAPUNOV OPERATOR" BY R. BYERS AND S. NASH

被引:2
作者
Chen, Sheng [1 ]
Tian, Yunbo [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
singular vector; Lyapunov operator;
D O I
10.1137/140974031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We point out a mistake in the proof of Theorem 9 in the paper of R. Byers and S. Nash [SIAM J. Algebraic Discrete Methods, 8 (1987), pp. 59-66]. Thus, "Theorem 9" is a conjecture. We prove that the conjecture holds for n <= 5.
引用
收藏
页码:1069 / 1072
页数:4
相关论文
共 4 条
[1]   ON THE SINGULAR VECTORS OF THE LYAPUNOV OPERATOR [J].
BYERS, R ;
NASH, S .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1987, 8 (01) :59-66
[2]  
Cheng D., 2001, COMMUN INF SYST, V1, P255
[3]  
Cheng D., 2009, J CONTROL THEORY APP, V7, P48
[4]   On a conjecture about the norm of Lyapunov mappings [J].
Feng, Jun-e ;
Lam, James ;
Yang, Guowu ;
Li, Zhao .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 465 :88-103