• Algorithms for solving the inverse problem associated with KAK = A(s+1) 

      Lebtabi, Leila (1); Romero, Óscar; Thome, Néstor (Journal of Computational and Applied Mathematics, 01/2017)
      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 ...
    • Inverse eigenvalue problem for normal J-hamiltonian matrices 

      Gigola, Silvia; Lebtabi, Leila (1); Thome, Néstor (Applied Mathematics Letters, 10/2015)
      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 ...
    • The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem 

      Gigola, Silvia; Lebtabi, Leila (1); Thome, Néstor (Journal of Computational and Applied Mathematics, 01/2016)
      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 ...