How well-conditioned can the eigenvector problem be?
How well-conditioned can the eigenvector problem be?
复制标题
特征向量问题的条件有多好？
DOI：
10.1090/mcom/3706
复制
发表时间：
2022
影响因子：
2
通讯作者：
Steinerberger, Stefan
中科院分区：
文献类型：
--
作者：
Beltrán, Carlos;Bétermin, Laurent;Grabner, Peter;Steinerberger, Stefan
特征向量计算的条件数是一个研究得很好的量。但它能有多小呢？具体地说，什么样的矩阵是关于特征向量计算的完美条件？在本说明中，我们回答这个问题formatrices，给出一个解决方案，是确切的一阶。引用
The condition number for eigenvector computations is a well-studied quantity. But how small can it possibly be? Specifically, what matrices are perfectly conditioned with respect to eigenvector computations? In this note we answer this question formatrices, giving a solution that is exact to first-order as. References