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

Soleymani F 1 , Sharifi M 1 , Karimi Vanani S 1 , Khaksar Haghani F 1 , Kılıçman A 2

Affiliations 

  • 1 Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
  • 2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Malaysia
ScientificWorldJournal, 2014;2014:560931.
PMID: 25215323 DOI: 10.1155/2014/560931

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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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