School of Mathematics and Computational Science;
Central South University;
Changsha 410083;
China;
Department of Mathematics;
Dongguan University of Technology;
Dongguan 523000;
China School of Mathematics and Computational Science;
Central South University;
Changsha 410083;
China;
anti-Hermitian; generalized; anti-Hamiltonian; matrix; algebra; inverse; eigenvalue; problem; optimal; approximation;