Quasilinearization and the Estimation of Differential Operators from Eigenvalues Given a linear ordinary differential operator containing several unknown constants and a number of its eigenvalues, the values of the unknown constants are estimated. A precise formulation is provided, and an effective numerical procedure for solution is indicated. The results of some computational experiments are given. CACM April, 1968 Bellman, R. E. Kagiwada, H. H. Kalaba, R. E. Vasudenvan, R. quasilinearization, eigenvalues, differential operators, nonlinear boundary-value problems, inverse problems,differential equations, system identification 3.15 3.17 5.17 CA680404 JB February 23, 1978 11:12 AM 1766 4 1766 1401 5 1766 1766 5 1766 1766 5 1766 1766 5 1766