Symbolic estimation of distances between eigenvalues of Hermitian   operator
  We find out a method for symbolic estimation of a minimal (maximal) distance between eigenvalues of a Hermitian matrix (or roots of a polynomial with real (maybe degenerated) roots), using Hankel matrices formalism. The range of location of eigenvalues is symbolically estimated too. All estimations can be done with any precision. 
Ilia Lomidze, Natela Chachava
math.CA