We cover three strategies of Classical Iterations: Jacobi, Gauss-Seidel and SOR(Successive Over-Relaxation) method. Task: Solve linear system $\boldsymbol{Ax}=\boldsymbol{b}$. Let us discuss the ...

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications. These methods ...

We introduce some iterative methods for solving the linear system $\boldsymbol{Ax}=\boldsymbol{b}$ in this chapter. Why do we need iterative methods? Reduce the cost ...

Department of Mathematics & Physics, Beijing Institute of Petrochemical Technology, Beijing, China. are the partitioned matrix of and respectively. As is well known, this problem models a large ...

This paper is concerned with numerical methods for a class of two-dimensional quasilinear elliptic boundary value problems. A compact finite difference method with a nonisotropic mesh is proposed for ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

Mathematics of Computation, Vol. 64, No. 211 (Jul., 1995), pp. 1193-1198 (6 pages) We present an algorithm for the numerical inversion of Laplace transforms that is a particular case of the iterated ...