Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations
Joint Authors
Xu, Fuyi
Liu, Xueting
Li, Hongkui
Zhao, Wenling
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the Hermitian positive definite solutions of the nonlinear matrix equation X+A∗X−2A=I, where A is an n×n nonsingular matrix.
Some necessary and sufficient conditions for the existence of a Hermitian positive definite solution of this equation are given.
However, based on the necessary and sufficient conditions, some properties and the equivalent equations of X+A∗X−2A=I are presented while the matrix equation has a Hermitian positive definite solution.
American Psychological Association (APA)
Zhao, Wenling& Li, Hongkui& Liu, Xueting& Xu, Fuyi. 2009. Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-489315
Modern Language Association (MLA)
Zhao, Wenling…[et al.]. Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-489315
American Medical Association (AMA)
Zhao, Wenling& Li, Hongkui& Liu, Xueting& Xu, Fuyi. Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-489315
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489315
