%0 Journal Article %1 cheng14 %A Cheng, Guanghui %A Song, Zhida %A Yang, Jianfeng %A Si, Jia %D 2014 %J Numerical Linear Algebra with Applications %K eigenvalues perturbation %N 1 %P 98--107 %R 10.1002/nla.1867 %T The Bounds of the Eigenvalues for Rank-One Modification of Hermitian Matrix %V 21 %X In this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the efficiency of the proposed method and support our theoretical results.

@article{cheng14, abstract = {In this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the efficiency of the proposed method and support our theoretical results.}, added-at = {2014-01-26T20:04:57.000+0100}, author = {Cheng, Guanghui and Song, Zhida and Yang, Jianfeng and Si, Jia}, biburl = {https://www.bibsonomy.org/bibtex/2caf295ef39b7471ae04b30acd9ac43cf/ytyoun}, doi = {10.1002/nla.1867}, interhash = {2ad03c5ecc0d77a1612424f47c99e6e4}, intrahash = {caf295ef39b7471ae04b30acd9ac43cf}, issn = {1099-1506}, journal = {Numerical Linear Algebra with Applications}, keywords = {eigenvalues perturbation}, number = 1, pages = {98--107}, timestamp = {2015-07-19T10:14:35.000+0200}, title = {The Bounds of the Eigenvalues for Rank-One Modification of Hermitian Matrix}, volume = 21, year = 2014 }