Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641911 | Journal of Computational and Applied Mathematics | 2008 | 7 Pages |
Abstract
In this paper, the mixed-type splitting iterative method is established for solving the linear system Ax=bAx=b, where A is a Z -matrix. The iterative method contains an auxiliary matrix L1(D1)L1(D1) that is restricted to be nonnegative strictly lower triangular (diagonal) matrix. Comparison theorems show that the proper choice of the L1(D1)L1(D1) can lead to the convergence rate of the Mixed-Type Iterative Method faster than that of the SOR and AOR type iterative methods for solving Ax=bAx=b. Numerical results are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guang-Hui Cheng, Ting-Zhu Huang, Shu-Qian Shen,