In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate...

mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems. Relaxation methods were developed for...

derive a reusable iterative expression for each problem. Finally, in 1740, Thomas Simpson described Newton's method as an iterative method for solving general...

In numerical linear algebra, the Jacobi method (a.k.a. the Jacobi iteration method) is an iterative algorithm for determining the solutions of a strictly...

In calculus, Newton's method (also called Newton–Raphson) is an iterative method for finding the roots of a differentiable function F, which are solutions...

iteration, constructing the solution to the equation. Solving an ODE in this way is called Picard iteration, Picard's method, or the Picard iterative...

matrix is positive-semidefinite. The conjugate gradient method is often implemented as an iterative algorithm, applicable to sparse systems that are too...

iterative refinement is performed until some termination criterion is met. One refinement scheme is Heron's method, a special case of Newton's method...

Collatz conjecture and juggler sequences. Another use of iteration in mathematics is in iterative methods which are used to produce approximate numerical solutions...

(2003). Iterative methods for sparse linear systems. SIAM. ISBN 978-0-89871-534-7. Hageman, L.A.; Young, D.M. (2012). Applied iterative methods (2nd ed...