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Inverse eigenvalue problem for normal J-hamiltonian matrices
(Applied Mathematics Letters, 2015-10)
A complex square matrix A is called J-hamiltonian if AT is hermitian where J is a normal real matrix such that J(2) = -I-n. In this paper we solve the problem of finding J-hamiltonian normal solutions for the inverse ...
Algorithms for solving the inverse problem associated with KAK = A(s+1)
(Journal of Computational and Applied Mathematics, 2017-01)
In previous papers, the authors introduced and characterized a class of matrices called {K, s +1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated ...
The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem
(Journal of Computational and Applied Mathematics, 2016-01)
The inverse eigenvalue problem and the associated optimal approximation problem for Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered. First, we study the existence of the solutions ...