Electronic Journal of Differential Equations, Vol. 1995(1995), No. 05, pp. 1-13. Title: Eigenvalue Computations for Regular Matrix Sturm-Liouville Problems Authors: H.I. Dwyer (Univ. of Wisconsin, Platteville, WI, USA) A. Zettl (Northern Illinois Univ., DeKalb, IL, USA) Abstract: An algorithm is presented for computing eigenvalues of regular self-adjoint Sturm-Liouville problems with matrix coefficients and separated boundary conditions. Submitted August 25, 1994. Published May 2, 1995. Math Subject Classification: 34B24, 34L15, 34L05. Key Words: Sturm-Liouville problem; matrix coefficients; eigenvalues; numerical computation of eigenvalues.