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- W2950170239 abstract "An optimal algorithm is described for solving the deconvolution problem of the form ${bf k}u:=int_0^tk(t-s)u(s)ds=f(t)$ given the noisy data $f_delta$, $||f-f_delta||leq delta.$ The idea of the method consists of the representation ${bf k}=A(I+S)$, where $S$ is a compact operator, $I+S$ is injective, $I$ is the identity operator, $A$ is not boundedly invertible, and an optimal regularizer is constructed for $A$. The optimal regularizer is constructed using the results of the paper MR 40#5130." @default.
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- W2950170239 date "2004-08-14" @default.
- W2950170239 modified "2023-09-27" @default.
- W2950170239 title "On deconvolution problems: numerical aspects" @default.
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