The bounds of the eigenvalues for rank‐one modification of Hermitian matrix |
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| Authors: | Guanghui Cheng Zhida Song Jianfeng Yang Jia Si |
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| Institution: | 1. School of Mathematical Sciences, University of Electronic Science and Technology of China, , Chengdu, Sichuan, 611731 China;2. School of Microelectronics and Solid‐State Electronics, University of Electronic Science and Technology of China, , Chengdu, Sichuan, 611731 China |
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| 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.Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | bounds for eigenvalues Hermitian matrix rank‐one modification |
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