The Schur complements of γ-diagonally and product γ-diagonally dominant matrix and their disc separation
The Schur complements of γ-diagonally and product γ-diagonally dominant matrix and their disc separation
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DOI：
10.1016/j.laa.2009.10.021
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发表时间：
2010-02
影响因子：
1.1
通讯作者：
Jianzhou Liu;Zejun Huang
中科院分区：
文献类型：
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作者：
Jianzhou Liu;Zejun Huang
在本文中，我们获得了矩阵 Schur 补的 γ 对角和乘积 γ 对角占优度的一些估计。作为应用，我们提出了由原始矩阵的条目补充的 Schur 特征值的一些界限。基于这些结果，我们给出了一种称为基于 Schur 的迭代的迭代，它可以通过 Schur 补集降低阶数来求解大规模线性系统，并且可以更快地计算出结果。
In this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally dominant degree of the Schur complement of matrices. As application we present some bounds for the eigenvalues of Schur complement by the entries of the original matrix. Based on these results, we give a kind of iteration called the Schur-based iteration, which can solve large scale linear systems though reducing the order by the Schur complement and can compute out the results faster.