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...

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

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...

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

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...

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...

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

In mathematics, power iteration (also known as the power method) is an eigenvalue algorithm: given a diagonalizable matrix A {\displaystyle A} , the algorithm...

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

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

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 =...

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

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...

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...

_{i=1}^{n}{\big |}y_{i}-f_{i}({\boldsymbol {\beta }}){\big |}^{p},} by an iterative method in which each step involves solving a weighted least squares problem...

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

method, and generalized minimal residual method. Iterative methods, which use scalar products to compute the iterative parameters, require corresponding changes...

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...

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

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

before the two methods defined by Broyden.: 582  For the DFP method, ϕ k = 1 {\displaystyle \phi _{k}=1} .: 150  Anderson's iterative method, which uses...

equations, resulting in faster convergence. A similar method can be used for any slowly converging iterative process. It was devised simultaneously by David...

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

Superiorization is an iterative method for constrained optimization. It is used for improving the efficacy of an iterative method whose convergence is...

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...

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