Positive Definite Solutions of the Matrix Equation

Asmaa M. Al-Dubiban

Abstract and Applied Analysis, 2015, vol. 2015, 1-8

Abstract:

We investigate the nonlinear matrix equation , where is a positive integer and . We establish necessary and sufficient conditions for the existence of positive definite solutions of this equation. A sufficient condition for the equation to have a unique positive definite solution is established. An iterative algorithm is provided to compute the positive definite solutions for the equation and error estimate. Finally, some numerical examples are given to show the effectiveness and convergence of this algorithm.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2015/473965.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2015/473965.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:jnlaaa:473965

DOI: 10.1155/2015/473965

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().