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The inverse eigenvalue problem of generalized reflexive matrices and its approximation
Authors:Zhibing Liu  Linzhang LuKanmin Wang
Affiliation:a Department of Mathematics, Jiujiang University, Jiujiang 332005, China
b School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Abstract:This paper studies inverse eigenvalue problems of generalized reflexive matrices and their optimal approximations. Necessary and sufficient conditions for the solvability of the problems are derived, the solutions and their optimal approximations are provided.
Keywords:Generalized reflexive matrix   Inverse eigenvalue problem   Best approximation
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