Some Applications of Polynomial Approximation to Dynamic Programming

S. P. Azen, Richard Ernest Bellman, Stuart E. Dreyfus

ResearchPublished 1963

An investigation of two polynomial approximation techniques: subregional approximation of a function by low-order Legendre polynomials over sufficiently small subdivisions of the original region of definition; and approximating a function by Chebychev polynomials over the whole region of definition. Numerical results were obtained from FORTRAN programs applying these techniques to allocation and bang-bang control problems.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1963
  • Print Format: Paperback
  • Paperback Pages: 58
  • Paperback Price: $23.00
  • Document Number: RM-3728-PR

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RAND Style Manual
Azen, S. P., Richard Ernest Bellman, and Stuart E. Dreyfus, Some Applications of Polynomial Approximation to Dynamic Programming, RAND Corporation, RM-3728-PR, 1963. As of October 10, 2024: https://www.rand.org/pubs/research_memoranda/RM3728.html
Chicago Manual of Style
Azen, S. P., Richard Ernest Bellman, and Stuart E. Dreyfus, Some Applications of Polynomial Approximation to Dynamic Programming. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3728.html. Also available in print form.
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