M.A. Krasnoselskii theorem and iteration methods of solving ill-posed linear problems with a self-adjoint operator

O. V. Matysik, P. P. Zabreiko

The article deals with iterative methods of solving linear operator equations $x=Bx+f$ and $Ax=f$ with self-adjoint operators in Hilbert space $X$ in critical case when $ρ(B)…