DocumentCode
1966822
Title
On Positive Definite Solutions of the Nonlinear Matrix Equation X+A*X^(-1)A=P
Author
Ping, Fang ; Yu-zhong, Zhou ; Xin, Zhang
Author_Institution
Dept. of Mathematic Coll. of Sci., South China Agricu. Univ., Guangzhou, China
fYear
2010
fDate
30-31 Jan. 2010
Firstpage
364
Lastpage
365
Abstract
In this paper, we clearly study the properties of the Hermite positive definite solutions of a nonlinear matrix equation and improve a result. We get that if a condition is satisfied, all eigenvalues of the Hermite positive definite solutions of the equation locate in a range.
Keywords
Hermitian matrices; eigenvalues and eigenfunctions; nonlinear equations; Hermite positive definite solutions; eigenvalues; 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.2010.99
Filename
5439193
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