Asymptotic behavior of vector recurrences with applications
An investigation is conducted of the behavior of a vector recurrence relation under very weak assumptions. The obtained results are used in an analysis of the iterations for nonlinear equations and a study concerning the composition of such iterations. The results can be employed in studies of one-point iterations involving the use of memory elements. Iterations for solving nonlinear equations on parallel computers can be investigated.
Feldstein, A.↗