Calculation of eigenvalues through recurrence relations
Francisco Marcelo Fernández, John F. Ogilvie, Richard H. Tipping · The Journal of Chemical Physics · 1986
A simple, fast, and accurate method is developed to calculate eigenvalues when the secular equation can be written as a (2m+1)-term recurrence relation. Several physically interesting examples are discussed to show that the present algorithm compares favorably with the most efficient ones.