Extended convergence results for the Newton–Kantorovich iteration

Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations

In this paper, the multistage variational iteration method is implemented to solve a general form of the system of first-order differential equations. The convergence of the proposed method is given. To illustrate the proposed method, it is applied to a model for HIV infection of CD4+ T cells and the numerical results are compared with those of a recently proposed method.

On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces

In this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.

Empirical Results on Convergence and Exploration in Approximate Policy Iteration

In this paper, we empirically investigate the convergence properties of policy iteration applied to the optimal control of systems with continuous state and action spaces. We demonstrate that policy iteration requires lesser iterations than value iteration to converge, but requires more function evaluations to generate cost-to-go approximations in the policy evaluation step. Two different alter...

Convergence Results on Iteration Algorithms to Linear Systems

In order to solve the large scale linear systems, backward and Jacobi iteration algorithms are employed. The convergence is the most important issue. In this paper, a unified backward iterative matrix is proposed. It shows that some well-known iterative algorithms can be deduced with it. The most important result is that the convergence results have been proved. Firstly, the spectral radius of ...

Strong Convergence for Hybrid S-Iteration Scheme