Stabilized rounded addition of hierarchical matrices
Stabilized rounded addition of hierarchical matrices
复制标题
分层矩阵的稳定舍入加法
DOI：
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复制
发表时间：
2007
影响因子：
4.3
通讯作者：
W. Hackbusch
中科院分区：
文献类型：
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作者：
M. Bebendorf;W. Hackbusch
层次矩阵的效率是基于对常用矩阵运算的近似评估。然而，引入的近似误差可能导致重要的矩阵性质的损失。在这篇文章中，我们提出了一种技巧，它保持矩阵的正定性，而与逼近质量无关。用一个含有微小Dirichlet部分的椭圆型混合边值问题说明了这种方法的重要性。版权所有©2007 John Wiley&Sons，Ltd.
The efficiency of hierarchical matrices is based on the approximate evaluation of usual matrix operations. The introduced approximation error may, however, lead to a loss of important matrix properties. In this article we present a technique which preserves the positive definiteness of a matrix independently of the approximation quality. The importance of this technique is illustrated by an elliptic mixed boundary value problem with tiny Dirichlet part. Copyright © 2007 John Wiley & Sons, Ltd.