An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices

Authors:
Zhongyun Liu;Heike Faíbender
Affiliations:
School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, 410076, PR China;Institut Computational Mathematics, TU Braunschweig, Pockelsstr. 14, D-38023 Braunschweig, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 5
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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.