2011•Journal of applied mathematics & informaticsRequires access

A MIXED-TYPE SPLITTING ITERATIVE METHOD

Li Jiang, Ting Wang

Abstract

In this paper, a preconditioned mixed-type splitting iterative method for solving the linear systems Ax = b is presented, where A is a Z-matrix. Then we also obtain some results to show that the rate of convergence of our method is faster than that of the preconditioned AOR (PAOR) iterative method and preconditioned SOR (PSOR) iterative method. Finally, we give one numerical example to illustrate our results.

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Key concepts: Mathematics, Iterative method, Convergence (economics), Rate of convergence, Applied mathematics, Matrix (chemical analysis), Type (biology), Matrix splitting