谱约束下反自反矩阵的最佳逼近问题

Abstract

Abstract:

In this paper, the inverse eigenvalue problem of antireflexive matrices and relevant optimal approximation
problem are considered. Some necessary and sufficient conditions of the solvability for the inverse eigenvalue problem are given. A general representation of the solution is presented for solvable case. Furthermore, for any given complex matrix of dimension n, an expression of solution for its optimal approximation is presented.

Key words: Antireflexive , matrix, Inverse eigenvalue problem, Optimal approximation, Matrix norm

CLC Number:

15A57

GUAN Li, ZHANG Zhong-Zhi, XIE Dong-Xiu. Optimal Approximation Problem of Antireflexive Matrices under the Spectral Restriction[J].Acta mathematica scientia,Series A, 2009, 29(2): 316-323.

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Optimal Approximation Problem of Antireflexive Matrices under the Spectral Restriction

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