Quasilinearization, invariant imbedding, and the calculation of eigenvalues

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

ResearchPublished 1965

A consideration of several eigenvalue problems for systems of ordinary differential equations. They are resolved computationally using the quasilinearization technique, a quadratically convergent successive approximation scheme. The essential idea is to consider an eigenvalue problem to be a system identification problem. Also shown is the use of invariant imbedding techniques to obtain good initial estimates for eigenvalues in some neutron multiplication processes. 21 pp.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1965
  • Print Format: Paperback
  • Paperback Pages: 21
  • Paperback Price: $20.00
  • Document Number: RM-4738-PR

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RAND Style Manual
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Quasilinearization, invariant imbedding, and the calculation of eigenvalues, RAND Corporation, RM-4738-PR, 1965. As of October 11, 2024: https://www.rand.org/pubs/research_memoranda/RM4738.html
Chicago Manual of Style
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Quasilinearization, invariant imbedding, and the calculation of eigenvalues. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4738.html. Also available in print form.
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