一种H-矩阵的块预条件AOR迭代法的收敛性
Convergence on Preconditioned Block AOR Iterative Method of H-Matrix
摘要:
本文利用块预条件技术考虑了解线性方程组Ax=b的块预条件AOR迭代法。当方程组的系数矩阵A是H-矩阵时,得出了该方法的收敛性结果。
Abstract:
We consider block AOR preconditioned iterative method for solving the linear system Ax=b , using the preconditioning technology. When the coefficient matrix A is an H-matrix, the conver-gence results of the presented method are given.
参考文献
[1]
|
Anelli, M. and Hadjidimos, A. (2004) Block Gauss elimination followed by a classical. Iterative method for the solution of linear systems. Computational and Applied Mathematics, 163, 381-400.
http://dx.doi.org/10.1016/j.cam.2003.08.045
|
[2]
|
王学忠, 李晓梅 (2012) H-矩阵的预条件对角占优性. 理论数学, 1, 39-44.
|
[3]
|
Li, W. and You, Z.Y. (1998) The multi-parameters overrelaxation method. Journal of Computational Mathematics, 16, 231-238.
|
[4]
|
Varga, R.S. (1981) Matrix iterative analysis. Prentice-Hall, Englewood Cliffs.
|
[5]
|
Berman, A. and Plemmons, R.J. (1994) Nonnegative matrices in the mathematical sciences. SIAM, Philadelphia.
http://dx.doi.org/10.1137/1.9781611971262
|
[6]
|
Kolotilina, L.Yu. (1995) Two-sided bounds for the inverse of an H-matrix. Linear Algebra and Its Applications, 225, 117-123. http://dx.doi.org/10.1016/0024-3795(93)00325-T
|
[7]
|
黄延祝, 杨传胜 (2007) 特殊矩阵分析及应用. 科学出版社, 北京.
|