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J. Korean Math. Soc. 2006; 43(1): 87-98

Printed January 1, 2006

Copyright © The Korean Mathematical Society.

The solvability conditions for a class of constrained inverse eigenvalue problem of antisymmetric matrices

Xiao-ping Pan, Xi-yan Hu, and Lei Zhang

Hunan University, Hunan University, Hunan University

Abstract

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In this paper, a class of constrained inverse eigenvalue problem for antisymmetric matrices and their optimal approximation problem are considered. Some sufficient and necessary conditions of the solvability for the inverse eigenvalue problem are given. A general representation of the solution is presented for a solvable case. Furthermore, an expression of the solution for the optimal approximation problem is given.

Keywords: antisymmetric matrix, constrained inverse eigenvalue problem, optimal approximation

MSC numbers: 15A29

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