Iterative Methods for a Class of Linear Operator Equations
O. Awono, Jacques Tagoudjeu · 2009
This paper presents a two step iterative method for the solution of a linear operator equation, where the operator admits a positive definite and m-Accretive splitting. The iterations alternate between the positive definite and m-accretive part of the operator. Theoretical analysis shows that the method converges unconditionally to the solution of the equation. Additionally, the analysis of a successive overrelaxation acceleration of this method is provided. The convergence of the proposed methods are illustrated by a numerical example in which an integro-differential problem of transport theory is considered.