Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl m (λ)-function
B. Malcolm Brown, M. S. P. Eastham, W. D. Evans, V. G. Kirby · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1994
Abstract The repeated diagonalization techniques used by Eastham to obtain asymptotic results for solutions to linear differential systems are further developed to produce a numerical algorithm for estimating the Titchmarsh-Weyl m-coefficient in the second-order case. These analytic results have been exploited to produce a computer code (RDML1) to generate these solutions and to obtain precise global error bounds.