A Variation of the Goodman-Lance Method for the Solution of Two-Point Boundary Value Problems A recently published method for the interpolative solution of nonlinear equations is improved, and applied to give a significant variation of the Goodman-Lance method for the solution of two-point boundary value problems. The resulting method applies in particular to the numerical solution of optimal control problems in the Euler-Lagrange formulation. Quantitative estimates are presented which indicate that the variation is nearly twice as fast on some problems in the latter context. CACM September, 1970 Kimble, G. W. Goodman-Lance, boundary-value problems, Newton's method, nonlinear equations, optimal control, optimization, ordinary differential equations, secant method, interpolative solution, orthogonal matrices 3.21 5.15 5.17 CA700905 JB February 10, 1978 1:39 PM 2000 5 2000 2000 5 2000 2000 5 2000