ITERATION METHOD OF EXPLICIT TYPE FOR SOLVING INCORRECT EQUATIONS OF FIRST KIND WITH APPROXIMATELY SPECIFIED OPERATOR
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The article deals with the study of the explicit method of solving incorrect equations of the first kind with nonnegative self-adjoint limited operator in Hilbert space. It aims at proving the method convergence in case of a priori and a posteriori choice of the number of iterations in the basic norm of Hilbert space on the assumption of existing errors not only in the equation right-hand member but in the operator as well. Error estimation, a priori stop moment and estimate for the а posteriori moment stop are obtained.