The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices

MO  Rong-Hua; HUANG  Zhi-Cheng

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The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices

更新时间：2026-05-27

- The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices
- Vol. 28, Issue 1, Pages: 45-49(2011)
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- Online First：25 December 2011，
  
  Published：2011
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莫荣华, 黄志成. 反哈密顿矩阵的特征值反问题[J]. 广东工业大学学报, 2011, 28(1): 45-49.

MO Rong-Hua, HUANG Zhi-Cheng. The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices[J]. 2011, 28(1): 45-49.
莫荣华, 黄志成. 反哈密顿矩阵的特征值反问题[J]. 广东工业大学学报, 2011, 28(1): 45-49. DOI：

MO Rong-Hua, HUANG Zhi-Cheng. The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices[J]. 2011, 28(1): 45-49. DOI：

摘要

探讨了反哈密顿矩阵的特征值反问题

得到了该问题有解的充要条件、通解的表达式以及最小范数解.证明了其最佳逼近解的存在性和唯一性

建立了其最佳逼近解

并给出了求最佳逼近解的数值算法和算例.

Abstract

It mainly discusses the inverse eigenvalue problem of the anti-Hamiltonian matrices.The necessary and sufficient solvability conditions for the problem are given.And the general form of solutions is presented.Furthermore

the optimal approximate solution to any given matrix is studied

such a solution is proved to be unique

and the formula to compute it is provided.Some numerical examples are given to demonstrate that the results are right and the algorithm is feasible.

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references

Horn R A,Johnson C R.Matrix Analysis[M].New York,Cambridge University Press,1985.

Chu M T,Golub G H.Inverse Eigenvalue Problem:Theory,Algorithms and Applications[M].UK：Oxford,Oxford University Press,2005.

Golub G H,Van Loan C F.Matrix Computations,Baltimore[M].The Johns Hopkins University Press,1996.

Joseph K T.Inverse eigenvalue problems in structural design[J].AIAA J,1992,30:2890-2896.

Bai Z J.The solvability conditions for the inverse eigenvalue problem of Hermitian and generalized skew-Hamiltonian matrices and its approximation[J].Inerse Problems,2003,19:1185-1194.

孙继广.实对称矩阵的两类特征值反问题[J].计算数学,1988,3：282-290.

孟纯军,胡锡炎.哈密顿矩阵的逆特征值问题[J].数学物理学报,2007,3：442-448.

胡锡炎,张磊,谢冬秀,双对称矩阵逆特征值问题解存在的条件[J].计算数学,1998,3：409-418.

孙继广.矩阵扰动分析[M].北京,科学出版社,2001.

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