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The bounds of the eigenvalues for rank‐one modification of Hermitian matrix
Author(s) -
Cheng Guanghui,
Song Zhida,
Yang Jianfeng,
Si Jia
Publication year - 2014
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.1867
Subject(s) - hermitian matrix , mathematics , interlacing , eigenvalues and eigenvectors , rank (graph theory) , eigendecomposition of a matrix , matrix (chemical analysis) , combinatorics , algebra over a field , pure mathematics , computer science , physics , materials science , quantum mechanics , composite material , operating system
SUMMARY 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.Copyright © 2013 John Wiley & Sons, Ltd.