The work of Richard Bellman—I. optimization

DOI10.1016/0898-1221(86)90063-5zbMath0599.49002OpenAlexW1979115001MaRDI QIDQ3733630

Robert E. Kalaba, Harriet H. Kagiwada

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90063-5

zbMATH Keywords

dynamic programmingquasilinearizationinvariant imbedding

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear boundary value problems for ordinary differential equations (34B15) History of mathematics in the 20th century (01A60) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical solution of boundary value problems involving ordinary differential equations (65L10) History of calculus of variations and optimal control (49-03) Fredholm integral equations (45B05)

Cites Work

• Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• Wengert's numerical method for partial derivatives, orbit determination and quasilinearization
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