Journal of East China Normal University(Natural Science) >
The Hermitian R-antisymmetric solution of an inverse quadratic eigenvalue problem
Received date: 2021-04-02
Online published: 2023-03-23
In this paper, we consider the inverse problem of quadratic eigenvalue for a Hermitian R-antisymmetric matrix. By using the matrix block method, singular value decomposition, vector straightening, and the Moore-Penrose inverse, we prove the existence of a Hermitian R-antisymmetric solution. In addition, we provide the general expression for a Hermitian R-antisymmetric solution, and discuss the best approximation thereof. Finally, an example is offered to validate the theory.
Zhiping QI , Lan ZHANG . The Hermitian R-antisymmetric solution of an inverse quadratic eigenvalue problem[J]. Journal of East China Normal University(Natural Science), 2023 , 2023(2) : 5 -11 . DOI: 10.3969/j.issn.1000-5641.2023.02.002
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