by B. I. Bandyrskii, I. P. Gavrilyuk, I. I. Lazurchak, V. L. Makarov
Preprint series: 05-07, Reports on Numerical Mathematics
B. I. Bandyrskii, I. P. Gavrilyuk, I. I. Lazurchak, V. L. Makarov
Preprint series: , Reports on Numerical Mathematics
Abstract: A new algorithm for Sturm-Liouville problems with matrix coefficients is proposed which possesses the convergence rate of a geometric progression with a denominator depending inversely proportional from the order number of eigenvalues. The asymptotical behavior of the distance between neighboring eigenvalues when the order number tends to infinity is investigated too.
Keywords: Sturm-Liouville problem with matrix coefficients, asymptotic expansions, apriori estimates