The bounds of the eigenvalues for rank-one modification of Hermitian matrix

Authors

  • Guanghui Cheng,

    Corresponding author
    1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
    • Correspondence to: Guanghui Cheng, School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, China.

      E-mail: ghcheng@uestc.edu.cn

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  • Zhida Song,

    1. School of Microelectronics and Solid-State Electronics, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
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  • Jianfeng Yang,

    1. School of Microelectronics and Solid-State Electronics, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
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  • Jia Si

    1. School of Microelectronics and Solid-State Electronics, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
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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.

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