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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.

Detalles Bibliográficos
Autores principales: Soleymani, Fazlollah, Sharifi, Mahdi, Karimi Vanani, Solat, Khaksar Haghani, Farhad, Kılıçman, Adem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4151580/
https://www.ncbi.nlm.nih.gov/pubmed/25215323
http://dx.doi.org/10.1155/2014/560931