Majorization bounds for SVD

Majorization bounds for SVD
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SVD 的主要化范围

DOI:
10.1007/s13160-018-0322-z
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发表时间:
2018-08
影响因子:
0.9
通讯作者:
Xuansheng Wang
Xuansheng Wang
中科院分区:
数学4区
文献类型:
--
作者:
Zhongming Teng;Xuansheng Wang

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Given an approximating singular subspace of a matrix, in this paper, two kind of majorization type bounds on the singular value errors by the canonical angles between the singular subspaces and its approximations are obtained. From these results, based on the information about approximation accuracies of a pair of approximate singular subspaces, several bounds can be directly obtained to estimate how accurate the approximate singular values are. These results are helpful to understand how approximate singular values converge to the corresponding exact singular values in the projection subspace type algorithms.
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