The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian matrices are studied in this paper. The sharper bounds are obtained. Numerical examples illustrate that our bounds give accurate estimates.
%0 Journal Article
%1 cheng12
%A Cheng, GuangHui
%A Luo, XiaoXue
%A Li, Liang
%D 2012
%J Applied Mathematics Letters
%K eigenvalues perturbation
%N 9
%P 1191 - 1196
%R 10.1016/j.aml.2012.02.036
%T The Bounds of the Smallest and Largest Eigenvalues for Rank-One Modification of the Hermitian Eigenvalue Problem
%V 25
%X The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian matrices are studied in this paper. The sharper bounds are obtained. Numerical examples illustrate that our bounds give accurate estimates.
@article{cheng12,
abstract = {The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian matrices are studied in this paper. The sharper bounds are obtained. Numerical examples illustrate that our bounds give accurate estimates. },
added-at = {2014-01-26T20:08:44.000+0100},
author = {Cheng, GuangHui and Luo, XiaoXue and Li, Liang},
biburl = {https://www.bibsonomy.org/bibtex/2ba0a3d9ef6adc8a184cc2c8c489d64b6/ytyoun},
doi = {10.1016/j.aml.2012.02.036},
interhash = {15ee7b32b1dca615dabd6305e208110b},
intrahash = {ba0a3d9ef6adc8a184cc2c8c489d64b6},
issn = {0893-9659},
journal = {Applied Mathematics Letters },
keywords = {eigenvalues perturbation},
number = 9,
pages = {1191 - 1196},
timestamp = {2015-07-19T10:13:14.000+0200},
title = {The Bounds of the Smallest and Largest Eigenvalues for Rank-One Modification of the Hermitian Eigenvalue Problem },
volume = 25,
year = 2012
}