Analytic and computational aspects of dynamic programming processes of high dimension

Memorandum No. 30-11; 'This paper deals with the problem of extremizing criterion functions which are linear or quadratic in the componets of the solution of the N-dimensional vector-matrix differential equation with vector initial condition x(0) = c; Dynamic programming procedures are developed for calculating the optimum program for the vector forcing function v(t) in the presence of several types of constraints on that function, with particular attnetion being paid to procedures which are computationally feasible for large N'; some minor notations here and there in text; text has 125 numbered pages; several minor marks inside covers; minor age tan and a number of minor marks/ minor stains to edges of closed pages; heavy handgrime to cover; a number of minor marks to cover; notes on front cover; tiny bumps to corners; heavy bumps to top and bottom of spine; some peeling of material at same locations; some wrinkling to spine material; several dings to cover; weighs 14 ounces; measures 11 by 8.5 by .45 inches; 092811; inventory control: SB.…