Search for maximum points of a vector criterion based on decomposition properties |
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| Authors: | N A Krasovskii A M Taras’ev |
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| Institution: | 1.Moscow State Institute of Radio Engineering,Electronics and Automation (Technical University),Moscow,Russia;2.Southern Mathematical Institute, Vladikavkaz Research Center,Russian Academy of Sciences,Vladikavkaz,Russia;3.Russian State Technological University (MATI),Moscow,Russia |
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| Abstract: | We address the problem of optimal reconstruction of the values of a linear operator on ℝ
d
or ℤ
d
from approximate values of other operators. Each operator acts as the multiplication of the Fourier transform by a certain
function. As an application, we present explicit expressions for optimal methods of reconstructing the solution of the heat
equation (for continuous and difference models) at a given instant of time from inaccurate measurements of this solution at
other time instants. |
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| Keywords: | |
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