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

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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.

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/ http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf

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