On the preconditioned AOR iterative method for Z-matrices
arXiv:1106.50874 citationsh-index: 22
AI Analysis
Incremental theoretical analysis for preconditioned iterative methods applied to Z-matrices.
The paper compares preconditioned AOR iterative methods for solving linear systems with Z-matrices, providing theoretical comparison results and numerical validation via GMRES methods.
Several preconditioned AOR methods have been proposed to solve system of linear equations $Ax=b$, where $A \in \mathbb{R}^{n \times n}$ is a unit Z-matrix. The aim of this paper is to give a comparison result for a class of preconditioners $P$, where $P\in \mathbb{R}^{n\times n}$ is nonsingular, nonnegative and has unit diagonal entries. Numerical results for corresponding preconditioned GMRES methods are given to illustrate the theoretical results.