Abstract:
A regular algorithm is devised for determining approximately the special basis in the kernel of a linear continuous operator, specified with an error. An example is given of realizing the algorithm for a linear Fredholm integral operator, arising when processing the data of X-ray structural analysis. Features of the solution of a linear Fredholm integral equation of the 1st kind, connected with the non-uniqueness of the solution in the context of a special accuracy, are discussed.
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