We show that every self-adjoint matrix B of trace 0 can be realized as B = T + T* for a nilpotent matrix T with ∥T∥ ≤ K∥B∥, for a constant K that is independent of matrix size. More particularly, if D ...

Spectral stability analysis for solitary waves is developed in the context of the Hamiltonian system of coupled nonlinear Schrödinger equations. The linear eigenvalue problem for a non-self-adjoint ...