Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations

Wenling Zhao, Hongkui Li, Xueting Liu and Fuyi Xu

Mathematical Problems in Engineering, 2009, vol. 2009, 1-13

Abstract:

We study the Hermitian positive definite solutions of the nonlinear matrix equation , where is an 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 are presented while the matrix equation has a Hermitian positive definite solution.

Date: 2009
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2009/672695.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2009/672695.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:672695

DOI: 10.1155/2009/672695

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().