Computational and Applied Mathematics

, Volume 36, Issue 2, pp 877–883 | Cite as

On the preconditioned AOR iterative method for Z-matrices

  • Davod Khojasteh Salkuyeh
  • Mohsen Hasani
  • Fatemeh Panjeh Ali Beik
Article
  • 172 Downloads

Abstract

In this paper, considering a general class of preconditioners \(P(\alpha )\), we study the convergence properties of the preconditioned AOR (PAOR) iterative methods for solving linear system of equations. It is shown that the spectral radius of the iteration matrix of the PAOR method has a monotonically decreasing property when the value of \(\alpha \) increases.

Keywords

Linear system of equations Preconditioner AOR iterative method Z-matrix 

Mathematics Subject Classification

65F10 65F50 

Notes

Acknowledgments

The authors would like to express their heartfelt gratitude to the anonymous referees for their valuable recommendations and useful comments which have improved the quality of the paper. The work of the first author is partially supported by University of Guilan.

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2015

Authors and Affiliations

  • Davod Khojasteh Salkuyeh
    • 1
  • Mohsen Hasani
    • 2
  • Fatemeh Panjeh Ali Beik
    • 3
  1. 1.Faculty of Mathematical SciencesUniversity of GuilanRashtIran
  2. 2.Faculty of Science, Department of MathematicsIslamic Azad UniversityShahroodIran
  3. 3.Department of MathematicsVali-e-Asr University of RafsanjanRafsanjanIran

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