title: An inversion-free method for finding positive definite solution of a rational matrix equation.
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.
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: Fazlollah
authors.identifier: 0000-0002-6905-8951
authors.initials: F
authors.lastname: Soleymani
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: Mahdi
authors.initials: M
authors.lastname: Sharifi
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: Solat
authors.initials: S
authors.lastname: Karimi Vanani
authors.affiliation: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran.
authors.forename: Farhad
authors.initials: F
authors.lastname: Khaksar Haghani
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kılıçman
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical