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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 453–466
(Mi zvmmf5614)
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This article is cited in 1 scientific paper (total in 1 paper)
On the incompleteness of a model of algorithms for computing estimates
V. L. Matrosov Moscow
Abstract:
It is shown that the Linear closure $\mathscr L\{A\}$ of the algorithms for computing estimates is invalid on a set of regular problems, and therefore the model of such algorithms is incomplete. However, for effectively separable problems $\{Z\}$, with respect to a given system of the reference sets $\{\Omega\}$, the class of algorithms $\mathscr L\{A\}$ is correct. A counter example showing that the condition of effective partition of the problems is not essential for the validity of $\mathscr L\{A\}$, is given.
Received: 04.03.1981
Citation:
V. L. Matrosov, “On the incompleteness of a model of algorithms for computing estimates”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 453–466; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 128–136
Linking options:
https://www.mathnet.ru/eng/zvmmf5614 https://www.mathnet.ru/eng/zvmmf/v23/i2/p453
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Abstract page: | 145 | Full-text PDF : | 80 | First page: | 1 |
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