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
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;
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
DOI :
10.1109/CICC-ITOE.2010.99
