A posteriori choice of the regularization parameter in the explicit iteration method for solution of linear equations with an approximate operator
An explicit iteration method for solution of first-kind operator equations with non-negative self-conjugated and non-self-conjugated bounded operator in the Hilbert space is proposed. Convergence of the method is proved in the case of an a posteriori choice of a number of iterations in the usual norm of the Hilbert space, supposing that not only the right hand-side of the equation, but also the operator has errors. Estimates of an error and a posteriori moment of stop are obtained.