DocumentCode
1966887
Title
On the Hermite Positive Definite Solutions of the Matrix Equation X+A*X^(-1)A=P
Author
Yu-zhong, Zhou ; Xin, Zhang ; Ping, Fang
Author_Institution
Dept. of Mathematic, South China Agricu. Univ., Gangdong, China
fYear
2010
fDate
30-31 Jan. 2010
Firstpage
362
Lastpage
363
Abstract
In this paper, we clearly study the properties of the Hermite positive definite solutions of a nonlinear matrix equation. The existence of the Hermitian positive definite solutions of the equation are given, which improves the results in [1].
Keywords
Hermitian matrices; nonlinear equations; Hermite positive definite solutions; nonlinear matrix equation; Educational institutions; Eigenvalues and eigenfunctions; Information technology; Linear matrix inequalities; Mathematics; Nonlinear equations; Oceans; Underwater communication; Frobenius norm; nonlinear matrix equation; spectral norm;
fLanguage
English
Publisher
ieee
Conference_Titel
Innovative Computing & Communication, 2010 Intl Conf on and Information Technology & Ocean Engineering, 2010 Asia-Pacific Conf on (CICC-ITOE)
Conference_Location
Macao
Print_ISBN
978-1-4244-5634-5
Electronic_ISBN
978-1-4244-5635-2
Type
conf
DOI
10.1109/CICC-ITOE.2010.98
Filename
5439196
Link To Document