The known formulas for the recurrent representation of pseudoinverse matrices, the so-called Greville formulas, are applied to constructing those for specially disturbed matrices and to inverting the Greville formulas. A constructive description of pseudoinverse matrices by the linear independent columns and rows is also presented. This representation is valid for the "finitely generated" operators between separable Hilbert spaces. These results make possible the constructive description of the Hough transformation and the corresponding accumulator functions as for the simple observations of the mixtures of affine operators in any finite-dimensional case so for the complicated one.

• Донченко Володимир Степанович (фізико-математичні науки)

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