Quasilinearization and the Estimation of Time Lags

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

ResearchPublished 1966

A numerical study of inverse problems (as observed in mathematical theories of cancer chemotherapy, in theories of control mechanisms in the heart-lung system, and in engineering and operations research) through quasilinearization. The authors show how to determine the parameters in a nonlinear differential-difference operator to obtain the best agreement (in the sense of the least-squares method) to certain given experimental data. The method hinges on reducing the differential-difference equation to a system of ordinary differential equations and using quasilinearization to solve the resulting multipoint boundary-value problem. Results of some numerical experiments are given.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1966
  • Print Format: Paperback
  • Paperback Pages: 24
  • Paperback Price: $20.00
  • DOI: https://doi.org/10.7249/RM4990
  • Document Number: RM-4990-NIH

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RAND Style Manual
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Quasilinearization and the Estimation of Time Lags, RAND Corporation, RM-4990-NIH, 1966. As of October 13, 2024: https://www.rand.org/pubs/research_memoranda/RM4990.html
Chicago Manual of Style
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Quasilinearization and the Estimation of Time Lags. Santa Monica, CA: RAND Corporation, 1966. https://www.rand.org/pubs/research_memoranda/RM4990.html. Also available in print form.
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