Displaying similar documents to “Expressing f ∈ 𝒟 as a difference of two positive functions f 1 , f 2 ∈ 𝒟 ”

On integer stochastic approximation

Václav Dupač, Ulrich Herkenrath (1984)

Aplikace matematiky

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Let M : 𝐑 → 𝐑 be observable, with experimental errors, at integer points only; unknown elsewhere. Iterative nonparametric procedures for finding the zero point of M are called procedures of integer stochastic approximation. Three types of such procedures (Derman’s, Mukerjee’s and the authors’) are described and compared. A two-dimensional analogue of the third approach is proposed and investigated; its generalization to higher dimensions is conjectured.