A New Preconditioned AOR Method for Z-matrices
In this paper, we present a preconditioned AOR-type iterative method for solving the linear systems Ax = b, where A is a Z-matrix. And give some comparison theorems to show that the rate of convergence of the preconditioned AOR-type iterative method is faster than the rate of convergence of the AOR-type iterative method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1332896Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1153
 Meijun Wu, Li Wang, Yongzhong Song. Preconditioned AOR iterative method for linear systems. Appl. Num. Math. pp.672-685,2007.
 Jicheng Li T.Z. Huang, Preconditioned Methods of Z-matrices, Acta Mathematica Scientia, vol.25A, pp.5-10, 2005.
 D.M. Young, Iterative solution of large linear systems, Academic Press, New York, 1971.
 R.S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1981.
 W.Li, W.W.Sun, Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices, Linear Algebra Appl. vol.317,pp.227-240, 2000.
 A.Berman, R.J.Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979.