Quasilinearization, Boundary-Value Problems and Linear Programming.

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba

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Quasilinearization provides an effective computational tool for the solution of a wide class of nonlinear two-point and multi-point boundary-value problems; e.g., Euler equations, orbit determination, partial differential equations, vectorcardiology and system identification. As a rule, the method of least squares is used when the number of conditions which the solution of a system of differential equations must satisfy exceeds the number of available constants. This Memorandum shows how to use to advantage the minimax criterion in conjunction with standard linear programming codes, instead of the usual method of least squares. (See also RM-3212, RM-4138.) 10 pp.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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