Quasilinearization and the estimation of time lags
Purchase Print Copy
|Add to Cart||Paperback24 pages||$20.00||$16.00 20% Web Discount|
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. 15 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.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.