Electronic Journal of Differential Equations, Vol. 1994(1994), No. 06, pp. 1--10. Title: Computing eigenvalues of regular 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 arbitrary coupled boundary conditions. Submitted April 15, 1994. Published August 23, 1994. Math Subject Classification: 34B24, 34L15, 34L05. Key Words: Sturm-Liouville problem; numerical computation of eigenvalues. A remark and a FORTRAN code for the main algorithm of this article have been placed as an appendix. See files "appendix-tex" and "Dwyer.fort" in the directory EJDE/Volumes/1994/06-Dwyer-Zettl. See also the article H.I. Dwyer; A. Zettl; Eigenvalue Computations for Regular Matrix Sturm--Liouville Problems; Eletrc. J. Diff. Eqns. Vol. 1995(1995);