Wyniki wyszukiwania - BazTech

1

O algorytmie Kaczmarza

Cegielski A.

Wiadomości Matematyczne

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2010

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T. 46, Nr 1

27-35

2

A generalization of the Opial's theorem

Cegielski A.

Control and Cybernetics

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2007

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Vol. 36, no 3

601-610

EN

Opial presented in 1967 a theorem, which can be applied in order to prove the weak convergence of sequences (xk) in a Hilbert space, generated by iterative schemes of the form xk+1= Uxk for a nonexpansive and asymptotically regular operator U with nonempty Fix U. Several iterative schemes have, however, the form xk+i1 = UkXk, where (Uk) is a sequence of operators with a common fixed point. We show that under some conditions on the sequence (Uk) the sequence (xk) converges weakly to a common fixed point of operators Uk- We show also that the Opial's theorem and the Krasnoselskii-Mann theorem are the corollaries descending from the obtained results. Finally, we present some applications of the results to the convex feasibility problems.

3

Analiza możliwości optymalizowania wsadu żeliwnego z udziałem ocynkowanych blach

Grzybowska M., Cegielski A., Bydałek A. W.

Archiwum Odlewnictwa

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2006

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R. 6, nr 18/1

523--528

PL

W pracy wskazano na możliwość zastosowania metody programowania liniowego do ustalania składu wsadu żeliwnego z udziałem ocynkowanych blach. Ponadto poddano analizie oddziaływanie cynku na właściwości żeliwa. Przedstawiono wyniki obliczeń i wstępnych badań optymalizujących wytopy żeliwa z wsadem zanieczyszczonym cynkiem.

EN

The introduced analysis shows on possibility essential zinc influences on porosity, as and the content as well as structure of sulphur dirts of cast iron. The cost-analysis shows however on possibility of procurance of profitable economic effects near utilization to batch of sheet metals with zinc. Problem is essential because definite requirements access on of raw material market be made difficult to fulfilling materials. One of these materials are sheet metals with zinc. The situation forces the casting industry to search new methods of obtention cast iron. The expression the problem of suitable selection of added materials, as task the rope programming, it will permit on more effective utilization the productive power of foundry near minimalizing the nascent in result of inappropriate selection of the raw material composition losses. From here also the test of optimization of process fusion from regard in batch of zinc are presence.