Iterative methods are often used for applications in science and engineering to solve very large scale linear systems. Efficiency of an iterative method depends on the amount of computation needed per iteration, as well as on the number of iterations needed to reconstruct the desired approximate solution. Convergence speed can be accelerated using a technique called preconditioning. Although pr...

Abstract The effect of the foundation heterogeneity on mechanical behaviour a beam Vlasov soils is discussed. According to refined soil model, static problem beams lying transversely isotropic can be solved by an iterative method. In this paper, based energy variational principle, differential equations for under axial force foundations are derived. methods solving internal forces and deformati...

This research article explores a hybrid strategy that combines an adaptive iterative filtering (IF) method and the fast discrete lifting-based wavelet transform (LWT) to eliminate power-line noise (PLI) baseline wander from electrocardiogram (ECG) signal. Due its correct mathematical basis guaranteed priori convergence, approach was preferred over empirical mode decomposition (EMD). The noisy m...

Newton’s iteration method is widely used in numerical methods, but its convergence low. Though a higher order algorithm leads to fast convergence, it always complex. An optimal formulation much needed for both and simple calculation. Here, we develop two-step fourth-order iterative based on linear combination of two schemes nonlinear equations, explore the criteria proposed also demonstrate val...