Improved Linear and Nonlinear Iterative Methods for Rainfall Infiltration Simulation

Iterative Methods for Linear and Nonlinear Equations

Iterative methods for solving non linear Fokker-Planck equation

From linear to nonlinear iterative methods

This paper constitutes an effort towards the generalization of the most common classical iterative methods used for the solution of linear systems (like Gauss–Seidel, SOR, Jacobi, and others) to the solution of systems of nonlinear algebraic and/or transcendental equations, as well as to unconstrained optimization of nonlinear functions. Convergence and experimental results are presented. The p...

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...

Iterative Methods for Linear Systems

This chapter contains an overview of some of the important techniques used to solve linear systems of equations Ax = b (1) by iterative methods. We consider methods based on two general ideas, splittings of the coeecient matrix, leading to stationary iterative methods, and Krylov subspace methods. These two ideas can also be combined to produce preconditioned iterative methods. In addition, we ...