id: 06041158 dt: j an: 06041158 au: Chen, Zhibao; Zhang, Zhongzhi; Lei, Xiuren ti: Optimal approximation problem of quasi-reflexive matrices under the spectral restriction. so: J. Nat. Sci. Hunan Norm. Univ. 34, No. 2, 16-19 (2011). py: 2011 pu: Editorial Department of Hunan Normal University, Changsha, Hunan la: ZH cc: ut: quasi-reflexive matrix; inverse eigenvalue problem; optimal approximation; matrix norm ci: li: ab: Summary: The inverse eigenvalue problem of quasi-reflexive matrices and the 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 cases. Furthermore, for any given complex matrix of dimension $n$, an expression of solution for its optimal approximation is presented. rv: