On the preconditioned AOR iterative method for Z-matrices
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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.
KeywordsLinear system of equations Preconditioner AOR iterative method Z-matrix
Mathematics Subject Classification65F10 65F50
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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