An inversion-free method for finding positive definite solution of a rational matrix equation

A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X + A * X-1 A = I. The new method is inversion-free per computing step. The convergence of the method has been studied and tested via numerical experiments.

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Bibliographic Details
Main Authors: Soleymani, Fazlollah, Sharifi, Mahdi, Vanani, Solat Karimi, Haghani, Farhad Khaksar, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf
http://psasir.upm.edu.my/id/eprint/36422/
http://www.hindawi.com/journals/tswj/2014/560931/
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