New iterative methods for linear inequalities

New Iterative Methods for Linear Inequalities

New iterative methods for solving systems of linear inequalities are presented. Each step in these methods consists of finding the orthogonat projection of the current point onto a hyperplane corresponding to a surrogate constraint which is constructed through a positive combination of a group of violated constraints. Both sequential and parallel-implementations are discussed.

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence

Iterative methods for solving non linear Fokker-Planck equation

On the modified iterative methods for $M$-matrix linear systems

This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...