Zhuk P. F.
Ukr. Mat. Zh. - 2013. - 65, № 12. - pp. 1622–1635
We present the definition and study the dependence on the initial approximation of the asymptotic rate of convergence of a two-layer symmetrizable iterative method of the variational type. The explicit expression is obtained for the substantial (with respect to the Lebesgue measure) range of its values. Its domain of continuity is described.
Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems
Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1694–1699
We obtain exact (unimprovable) estimates for the rate of convergence of the s-step method of steepest descent for finding the least (greatest) eigenvalue of a linear bounded self-adjoint operator in a Hilbert space.
Ukr. Mat. Zh. - 1976. - 28, № 2. - pp. 183–193