This paper deals with a modification of the Hill cipher. In this, we have introduced interweaving in each step of the iteration. The interweaving of the resulting plaintext, at each stage of the iteration, and the multiplication with the key matrix leads to confusion and diffusion. From the cryptanalysis performed in this investigation, we have found that the cipher is a strong one.

In this paper, we compute quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration in W-hyperbolic spaces. This is an extension to a nonlinear setting modified Mann defined recently by Boţ, Csetnek and Meier Hilbert Furthermore, show that Douglas–Rachford forward-backward algorithms with Tikhonov regularization terms are special cases, spaces, our iteration.

The classical Ka?anov scheme for the solution of nonlinear variational problems can be interpreted as a fixed point iteration method that updates given approximation by solving linear problem in each step. Based on this observation, we introduce modified Ka ? anov , which allows (adaptive) damping, and, thereby, to derive new convergence analysis under more general assumptions and wider range a...