Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem |
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| Authors: | Fan-Liang Li Xi-Yan Hu |
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| Affiliation: | a Institute of Mathematics and Physics, School of Sciences, Central South University of Forestry and Technology, Changsha 410004, PR China
b College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China |
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| Abstract: | In this paper, the left and right inverse eigenpairs problem for generalized centrosymmetric matrices is considered. We obtain the necessary and sufficient conditions for the solvability of the problem, and we present the general expression of the solution. The related optimal approximation problem to a given matrix over the solution set is solved. In addition, a numerical algorithm and examples to solve the problem are given. |
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| Keywords: | Generalized centrosymmetric matrices Left and right inverse eigenpairs Optimal approximation |
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