Vol. 3, issue 06, article # 10
pdf Kavkyanov S. I., Strepetova S. V. On taking into account the range of the solution when inverting an equation of the convolution type. // Atmospheric and oceanic optics. 1990. V. 3. No. 06. P. 574-579.Copy the reference to clipboard
Abstract:
Regularized algorithms for solving numerically an integral equation of the convolution type that permit taking into account, together with the usually employed a priori information about the smoothness of the reconstructed function, data on the range of the function are studied. The effect of taking data of this type into account on the quality of reconstruction is studied in a numerical experiment. An iteration algorithm for reconstructing positive-definite functions is proposed and methods for adaptation under conditions of a priori uncertainty are examined.
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