Procrustes problem for the inverse eigenvalue problem of normal (skew) $J$-Hamiltonian matrices and normal $J$-symplectic matrices

S. Gigola, L. Lebtahi, N. Thome

A square complex matrix $A$ is called (skew) $J$-Hamiltonian if $AJ$ is (skew) hermitian where $J$ is a real normal matrix such that $J^2=-I$, where $I$ is the identity matrix. In…