Note: Symmetric Gauss-Seidel Iteration iterates i = 1 , 2 , ⋯ , m − 1 , m , followed by i = m , m − 1 , ⋯ , 2 , 1 . A symmetric Gauss-Seidel iteration is a forward Gauss-Seidel Iteration followed by a ...

Comparing different numerical iteration techniques by tracing out the trajectories of massive celestial bodies. Coded in R. Iteration techniques include the Euler, Verlet and Runge-Kutta methods.

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

A numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method in a programming language is called a numerical algorithm. This chapter ...

Durand and Kerner independently have proposed a quadratically convergent iteration method for finding all zeros of a polynomial simultaneously. Here, a new derivation of their iteration equation is ...

This Paper is about an alternative iteration method to find state events in a hybrid dynamical system simulation. A method introduced in context of numerical co ...

Reza Danaei, Mohammad Jahanshahi, A new conformable fractional variational iteration method to singular perturbation conformable fractional Cauchy problems, Filomat, Vol. 38, No. 24 (2024), pp.