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Inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices

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Abstract

In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given.

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Authors and Affiliations

  1. School of Math. Science, Central South Univ., 410083, Changsha, China

    Zhang Zhongzhi & Liu Changrong

  2. Dept. of Math., Hunan City Univ., 413000, Yiyang, China

    Zhang Zhongzhi & Liu Changrong

  3. Faculty of Mathematics and Econometrics, Hunan Univ., 410082, Changsha, China

    Zhang Zhongzhi & Liu Changrong

Authors
  1. Zhang Zhongzhi
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  2. Liu Changrong
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Supported by the National Natural Science Foundation of China (1017103).

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Zhang, Z., Liu, C. Inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices. Appl. Math. Chin. Univ. 19, 342–348 (2004). https://doi.org/10.1007/s11766-004-0043-8

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  • DOI: https://doi.org/10.1007/s11766-004-0043-8

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