关于z-矩阵的新的预条件迭代方法 |
| |
引用本文: | 李斌. 关于z-矩阵的新的预条件迭代方法[J]. 衡阳师专学报, 2011, 0(6): 1-5 |
| |
作者姓名: | 李斌 |
| |
作者单位: | 湖南科技学院数学与计算科学系,湖南永州425100 |
| |
基金项目: | 基金项目:国家自然科学基金资助项目(10801048);湖南科技学院院级课题资助项目(09XKYTC034) |
| |
摘 要: | 引入了新的预条件矩阵P(α,β)=I+αS+Rβ,得到了当系数矩阵A是对角占优的Z-矩阵时,矩阵(I+αS+Rβ)A在一定的条件下也是对角占优的Z-矩阵,并在此基础上得出了几个重要的收敛定理。新的预条件方法推广了已有的相关结论,并用数值试验对所得定理结论的有效性进行了验证。
|
关 键 词: | 非奇异矩阵 z-矩阵 严格对角占优矩阵 预条件 |
A New Preconditioned Method for Z-Matrices |
| |
Affiliation: | .(Department of Mathematics and Computational Sciences, Hunan University of Science and Engineering, Yongzhou Hunan 425100, China) |
| |
Abstract: | The paper presents a new preconditioned matrix P(α,β)=I+αS+Rβ and obtained if the coefficient matrix A is a diag- onally dominant Z-matrix, then (I+αS+Rβ)A is also a diagonally dominant Z-matrix under some conditions,and base on this, we attached several important convergence theorems. The new preconditioned method generalizes some known results. A numerical example illustrate the validity of the corresponding theorems. |
| |
Keywords: | nonsingular matrix z-matrix strictly diagonally dominant matrix preconditioned |
本文献已被 维普 等数据库收录! |