Generalized inverse eigenvalue problems for Hermitian and J-Hamiltonian/skew-Hamiltonian matrices

Hairui Zhang and Yongxin Yuan

Applied Mathematics and Computation, 2019, vol. 361, issue C, 609-616

Abstract: Let J ∈ Rn×n be a normal matrix such that J2=−In. A matrix M ∈ Cn×n is called J-Hamiltonian (J-skew-Hamiltonian) if (MJ)H=MJ((MJ)H=−MJ). In this paper, the generalized inverse eigenvalue problem for Hermitian and J-Hamiltonian/skew-Hamiltonian matrices is considered. The properties and structures of Hermitian and J-Hamiltonian/skew-Hamiltonian matrices are analyzed. The solvability conditions for the inverse problem are derived and the representation of the general solution is presented.

Keywords: Generalized inverse eigenvalue problem; J-Hamiltonian matrix; J-skew-Hamiltonian matrix; Singular value decomposition (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:609-616

DOI: 10.1016/j.amc.2019.06.004

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