In this paper,we introduce a new iterative method based on the hybrid viscosity approximation method for finding a common element of the set of solutions of a general system of variational inequalities,an equilibrium ...
A new HSS-like iterative method is first proposed based on HSS-like splitting of non- Hermitian (1,1) block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we cons...
supported by the National Natural Science Foundation of China under grant 10371056;the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China under grant 200720;the Natural Science Foundation of Jiangsu Province under grant BK2006725;the College Natural Science Foundation of Jiangsu Province under grant 05KJB110062
We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We obtain the upper bounds and the optimum convergence factor of the extrapolation method as well as its associated...
We construct a family of dynamical systems whose evolution converges to the eigenvectors of a general square matrix, not necessarily symmetric. We analyze the convergence of those systems and perform numerical tests. ...
The project was supported by National Science Foundation (Grant No. 10471129).
In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. T...
Partial supported by the Spanish Agency for International Cooperation and by the Comision Interministerial de Ciencia y Tecnol
Presents a study which proposed an iterative approach to solve systems of linear equations. Definition of two families of convergent iterative methods; Features of the iterative method; Application of the method to a ...
This work has been partially supported by the Comision Interministerial de Ciencia y Tecnologa a of Spainunder grant PB98-0850
In this contribution we analyse some fundamental features of an iterative method to solve systems of linear equations, following the approve introduced in a previous work[l]. Such questions range from optimal paramete...
In this paper we propose a kind of implicit iterative methods for solving ill-posed operator equations and discuss the properties of the methods in the case that the control parameter is fixed. The theoretical results...
In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results([9,11,13]). Second, we also give the convergent theorem of...