Newton's method, or quasi-Newton methods like BFGS, is an algorithm of an iterative method or a method of successive approximation. An iterative method is called...

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 calculus, Newton's method (also called Newton–Raphson) is an iterative method for finding the roots of a differentiable function f {\displaystyle f}...

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...

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

Iterative and incremental development is any combination of both iterative design (or iterative method) and incremental build model for development. Usage...

(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...

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

over the key and values; the keys method to iterate over the hash's keys; and the values method to iterate over the hash's values. my %word-to-number =...

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

necessarily mean that no root exists. Most numerical root-finding methods are iterative methods, producing a sequence of numbers that ideally converges towards...

Edmond Halley. Halley's formula is known as one-point third-order iterative method to solve f ( x ) = 0 {\displaystyle \,f(x)=0} by means of approximating...

root computation methods are iterative: after choosing a suitable initial estimate of S {\displaystyle {\sqrt {S}}} , an iterative refinement is performed...

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

algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a system...

numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of an iterative method. Arnoldi finds an approximation to...

MG methods can be used as solvers as well as preconditioners. The main idea of multigrid is to accelerate the convergence of a basic iterative method (known...

quasi-Newton method is an iterative numerical method used either to find zeroes or to find local maxima and minima of functions via an iterative recurrence...

The Hardy Cross method is an iterative method for determining the flow in pipe network systems where the inputs and outputs are known, but the flow inside...

Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate...

of iterative life cycle where deliverables are submitted in stages. The main difference between agile and iterative development is that agile methods complete...

equations are almost universally solved by means of an iterative method, although the fixed-point iteration algorithm does not always converge. This solution...

The Lanczos algorithm is an iterative method devised by Cornelius Lanczos that is an adaptation of power methods to find the m {\displaystyle m} "most...

during the iterative process. Therefore, it has been widely used in geometric design and related fields. The study of the iterative method with geometric...

Iterative reconstruction refers to iterative algorithms used to reconstruct 2D and 3D images in certain imaging techniques. For example, in computed tomography...

Runge–Kutta methods (English: /ˈrʊŋəˈkʊtɑː/ RUUNG-ə-KUUT-tah) are a family of implicit and explicit iterative methods, which include the Euler method, used...

Torsten; Stewart, G. W. (1974). "On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse". SIAM Journal...

residual method (GMRES) is an iterative method for the numerical solution of an indefinite nonsymmetric system of linear equations. The method approximates...

decomposition methods suitable for parallel computing. Domain decomposition methods are typically used as preconditioners for Krylov space iterative methods, such...

single coordinate in each iteration Conjugate gradient methods: Iterative methods for large problems. (In theory, these methods terminate in a finite number...