Experiment planning in inverse problems of mathematical physics

A. B. Uspenskii; V. V. Fedorov

doi:10.1007/bf01071554

journal article Jan 01, 1976

Experiment planning in inverse problems of mathematical physics

A. B. Uspenskii V. V. Fedorov

Cybernetics Vol. 10 No. 4 pp. 700-707 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01071554

Topics

No keywords indexed for this article. Browse by subject →

References

10

[1]

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

[2]

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

[3]

E. Angel, ?Inverse boundary-value problem: elliptic equations,? J. Math. Anal. Appl.30 (1970). 10.1016/0022-247x(70)90185-x

[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).

[5]

S. Karlin and W. J. Studden, ?Optimal experimental designs,? Ann. Math. Stat.,37 (1966). 10.1214/aoms/1177699361

[6]

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

[7]

R. T. Jennrich, ?Asymptotic properties of nonlinear least-square estimators,? Ann. Math. Stat.,40 (1969). 10.1214/aoms/1177697731

[8]

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

[9]

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

[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).

Metrics

2

Citations

10

References

Details

Published: Jan 01, 1976
Vol/Issue: 10(4)
Pages: 700-707
License: View

Authors

Cite This Article

A. B. Uspenskii, V. V. Fedorov (1976). Experiment planning in inverse problems of mathematical physics. Cybernetics, 10(4), 700-707. https://doi.org/10.1007/bf01071554

Experiment planning in inverse problems of mathematical physics

You May Also Like