Numerical range of a nilpotent matrix and related central force
Mao-Ting Chien, Hiroshi Nakazato · Linear and Multilinear Algebra · 2013
In this paper, we introduce a new class of upper triangular nilpotent matrices, etermine the eigenvalues of the Hermitian part of rotating the type of nilpotent matrices and relate the numerical range of that typical type of matrices to the orbit of a point mass under a central force.