迷人的最大特征对子（英文）

发布时间：2018-06-05 07:23

本文选题：主导特征对子 + 高效初值　；参考：《数学进展》2017年04期

【摘要】："主导特征对子"在不同场合有不同名称.在矩阵论中称为最大特征对子(最大特征值及其对应的特征向量).本文首先介绍计算矩阵最大特征对子的十分意外的新结果.主要贡献是选取一个熟知算法的高效初值.其想法来源于我们新近关于主导特征值估计的研究.第二部分里,我们介绍很幸运得到的关于主导特征值的统一估计.第三部分通过一个特别例子说明此项研究的源头.最后概述我们关于主导特征值估计和更一般的各种稳定性速度研究的漫长历程.
[Abstract]:The "dominant feature pair" has different names on different occasions. In the matrix theory, it is called the maximum characteristic counterpart (the maximum eigenvalue and its corresponding eigenvector). This paper first introduces the very unexpected new results of the maximum characteristic of the matrix. The main contribution is to select an effective initial value of a well known calculation method. The idea comes from our new close. In the study of the estimation of the dominant eigenvalues. In the second part, we introduce a very fortunate unified estimate of the dominant eigenvalues. The third part illustrates the source of this study by a special example. Finally, we outline our long history of the study of the dominant eigenvalue estimation and the more general stability of the various speeds.
【作者单位】：北京师范大学数学科学学院;
【基金】：supported in part by NSFC(No.11131003,No.11626245) the “985” Project from the Ministry of Education in China the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
【分类号】：O151.21

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