ABOUT THE EIGENVALUE PROBLEM SOLUTION FOR A SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS OF THE METHOD OF MULTIDIMENSIONAL ANGULAR COULOMB FUNCTIONS USING STURM EXPANSIONS WITH EMPHASIS ON ASYMPTOTICS

A.A. Sadovoy, V.M. Povyshev
VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. Вып.1. С. 69-72.

      The paper offers the way of solving the eigenvalue problem for a system of second-order ordinary differential equations of the method of multidimensional angular Coulomb functions, which is based on Sturm expansions with emphasis on asymptotics. The computational algorithm of solving the generalized eigenvalue problem uses the LU-factorization of matrices and the method of inverse iterations. The proposed method convergence was analyzed.