DocumentCode
556449
Title
On Hermitian positive definite solutions of nonlinear matrix equation
Author
Qingchun Li ; Liu, Panpan
Author_Institution
Coll. of Math., Beihua Univ. Jilin, Jilin, China
Volume
1
fYear
2011
fDate
22-23 Oct. 2011
Firstpage
49
Lastpage
52
Abstract
In this paper, the Hermitian positive definite solutions of the nonlinear matrix equations X + A*X-qA = Q and X - A*X-qA = Q are discussed where q∈(0,1]. Some sufficient conditions for the existence of Hermitian positive definite solutions for these equations are derived. A sufficient condition for X + A*X-qA = Q is given to have a unique Hermitian positive definite solution. The perturbation analysis for X - A*X-qA = Q is discussed at last.
Keywords
Hermitian matrices; iterative methods; nonlinear equations; Hermitian positive definite solutions; iterative method; nonlinear matrix equation; perturbation analysis; Hermitian positive definite solution; Iterative method; Nonlinear matrix equation; Perturbation analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
System Science, Engineering Design and Manufacturing Informatization (ICSEM), 2011 International Conference on
Conference_Location
Guiyang
Print_ISBN
978-1-4577-0247-1
Type
conf
DOI
10.1109/ICSSEM.2011.6081228
Filename
6081228
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