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An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
Journal article published in 2014 by
Fazlollah Soleymani 
,
Solat Karimi Vanani,
Mahdi Sharifi,
Solat Karimi Vanani,
Farhad Khaksar Haghani,
Farhad Khaksar Haghani,
Adem Kılıçman
,
Solat Karimi Vanani,
Mahdi Sharifi,
Solat Karimi Vanani,
Farhad Khaksar Haghani,
Farhad Khaksar Haghani,
Adem Kılıçman
Abstract
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.