2010•Zenodo (CERN European Organization for Nuclear Research)Open access

A New Preconditioned Aor Method For Z-Matrices

Guangbin Wang, Ning Zhang, Fuping Tan

Abstract

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.

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