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Method of decomposition of a function of an operator in certain problems of optimal control. (English. Russian original) Zbl 0718.49023
Math. Notes 47, No. 4, 322-328 (1990); translation from Mat. Zametki 47, No. 4, 17-25 (1990).
See the review in Zbl 0702.49022.

MSC:
49M27 Decomposition methods
49M05 Numerical methods based on necessary conditions
49K27 Optimality conditions for problems in abstract spaces
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References:
[1] J.-L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag (1972). · Zbl 0223.35039
[2] A. I. Egorov, The Optimal Control of Heat and Diffusion Processes [in Russian], Nauka, Moscow (1978). · Zbl 0446.34014
[3] F. P. Vasil’ev, A. Z. Ishmukhametov, M. M. Potapov, and M. S. Solodkaya, ?The generalized method of moments in the problem of control of a parabolic system,? in: Methods and Algorithms in Numerical Analysis [in Russian], Izd. Mosk. Gos. Univ. (1984), pp. 96-108.
[4] A. Z. Ishmukhametov, ?The generalized method of moments in the problem of control of a quadratic functional on the solutions of a linear system,? in: Numerical Analysis: Methods, Algorithms, and Programs [in Russian], Izd. Mosk. Gos. Univ. (1983), pp. 59-70.
[5] T. Kato, Perturbation Theory of Linear Operators, Springer Verlag, Berlin-New York (1966). · Zbl 0148.12601
[6] N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in a Hilbert Space [in Russian], Nauka, Moscow (1966). · Zbl 0098.30702
[7] F. P. Vasil’ev, Methods for the Solution of Extremal Problems [in Russian], Nauka, Moscow (1981).
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