Skip to main content
Log in

Experiment planning in inverse problems of mathematical physics

  • Published:
Cybernetics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. G. I. Marchuk, “On inverse problems,” Dokl. Akad. Nauk SSSR,156, No. 3 (1964).

    Google Scholar 

  2. A. N. Tikhonov, V. K. Ivanov, and M. M. Lavrent'ev, “Incorrectly formulated problems,” in: Partial Differential Equations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. E. Angel, “Inverse boundary-value problem: elliptic equations,” J. Math. Anal. Appl.30 (1970).

  4. A. B. Uspenskii and V. V. Fedorov, “Formulation and solution of experiment planning problems for certain inverse problems of mathematical physics,” in: Approximate Methods of Solution of Optimal Control Problems and Some Incorrectly Formulated Inverse Problems [in Russian], Izd. MGU, Moscow (1972).

    Google Scholar 

  5. S. Karlin and W. J. Studden, “Optimal experimental designs,” Ann. Math. Stat.,37 (1966).

  6. V. V. Fedorov, Theory of Optimal Experiment [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  7. R. T. Jennrich, “Asymptotic properties of nonlinear least-square estimators,” Ann. Math. Stat.,40 (1969).

  8. S. Wilks, Mathematical Statistics, Wiley, New York (1962).

    Google Scholar 

  9. F. R. Gantmakher, Matrix Theory [in Russian], Fizmatgiz, Moscow (1966).

    Google Scholar 

  10. V. V. Fedorov, “Planning of regression experiments when the time is one of the controlled variables,” Preprint No. 13, Publ. Izd. MLSM MGU (1970).

Download references

Authors

Additional information

Translated from Kibernetika, No. 4, pp. 123–128, July–August, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Uspenskii, A.B., Fedorov, V.V. Experiment planning in inverse problems of mathematical physics. Cybern Syst Anal 10, 700–707 (1974). https://doi.org/10.1007/BF01071554

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01071554

Keywords

Navigation