Journal of Guangdong University of Technology ›› 2011, Vol. 28 ›› Issue (1): 45-49.

• Comprehensive Studies • Previous Articles     Next Articles

The Inverse Eigenvalue Problem of the Anti-Hamiltonian Matrices

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2011-12-25 Published:2011-12-25

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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.

Key words: Inverse eigenvalue problem; Anti-Hamiltonian matrix; Singular value decomposition(SVD); Optimal approximate solution

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