An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices |
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| Authors: | Zhongyun Liu Heike Faßbender |
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| Institution: | 1. School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, 410076, PR China;2. Institut Computational Mathematics, TU Braunschweig, Pockelsstr. 14, D-38023 Braunschweig, Germany |
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| Abstract: | A partially described inverse eigenvalue problem and an associated optimal approximation problem for generalized K-centrohermitian matrices are considered. It is shown under which conditions the inverse eigenproblem has a solution. An expression of its general solution is given. In case a solution of the inverse eigenproblem exists, the optimal approximation problem can be solved. The formula of its unique solution is given. |
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| Keywords: | 15A18 15A57 65F15 |
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