Asymptotic properties of the estimate refinement method in polyhedral approximation of multidimensional balls

Author:

Kamenev G. K.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference32 articles.

1. P. M. Gruber, “Aspects of approximation of convex bodies,” in Handbook of Convex Geometry, Ed. by P. M. Gruber and J. M. Willis (Elsevier Science, Amsterdam, 1993), Ch. 1.10, pp. 321–345.

2. E. M. Bronshtein, “Polyhedral approximation of convex sets,” Sovrem. Mat. Fundam. Napravlen. Geom. 22, 5–37 (2007).

3. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes (Nauka, Moscow, 1969; Gordon and Breach, New York, 1986).

4. A. V. Lotov, “On the concept of generalized reachable sets and their construction for linear control systems,” Dokl. Akad. Nauk SSSR250(5), 1081–1083 (1980).

5. A. V. Lotov, V. A. Bushenkov, G. K. Kamenev, and O. L. Chernykh, Computer and Search for Balanced Tradeoff: The Feasible Goals Method (Nauka, Moscow, 1997) [in Russian].

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