mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems. Relaxation methods were developed...
10 KB (1,222 words) - 13:56, 15 May 2025
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...
13 KB (2,195 words) - 01:32, 4 January 2025
{x} } for a constant ω > 1, called the relaxation factor. The method of successive over-relaxation is an iterative technique that solves the left hand side...
21 KB (3,185 words) - 01:14, 20 June 2025
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...
11 KB (1,556 words) - 01:03, 20 June 2025
described a variant of this iterative method. Jamshīd al-Kāshī used a method to solve xP − N = 0 to find roots of N, a method that was algebraically equivalent...
71 KB (9,136 words) - 10:06, 10 July 2025
constraints into easier ones Relaxation (iterative method), a technique for the numerical solution of equations Relaxation (extension method), a technique for a...
2 KB (236 words) - 00:01, 12 January 2025
Matrix splitting (category Relaxation (iterative methods))
represents a given matrix as a sum or difference of matrices. Many iterative methods (for example, for systems of differential equations) depend upon the...
13 KB (1,389 words) - 07:24, 17 June 2025
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...
25 KB (4,002 words) - 21:48, 7 July 2025
Convergent matrix (category Relaxation (iterative methods))
splitting of a matrix A results in a semi-convergent matrix T. A general iterative method converges for every initial vector if T is convergent, and under certain...
8 KB (1,018 words) - 08:00, 17 June 2025
not be confused with iterative methods of relaxation, such as successive over-relaxation (SOR); iterative methods of relaxation are used in solving problems...
6 KB (739 words) - 16:39, 18 January 2025
multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different...
27 KB (2,812 words) - 13:57, 22 July 2025
for handling data Smoothing (phonetics) Image smoothing Relaxation (iterative method), iterative smoothing of solutions and errors in computational science...
543 bytes (91 words) - 14:27, 5 June 2017
algebra, the Chebyshev iteration is an iterative method for determining the solutions of a system of linear equations. The method is named after Russian...
4 KB (344 words) - 00:23, 19 July 2024
}D+L\right)D^{-1}\left({1 \over \omega }D+L\right)^{\mathsf {T}}} Successive over-relaxation Iterative methods at CFD-Online wiki SSOR preconditioning at Netlib v t e...
957 bytes (131 words) - 03:32, 11 September 2023
compute the first few PCs. The non-linear iterative partial least squares (NIPALS) algorithm updates iterative approximations to the leading scores and...
117 KB (14,851 words) - 14:54, 21 July 2025
Mathematical optimization (category Mathematical and quantitative methods (economics))
single coordinate in each iteration Conjugate gradient methods: Iterative methods for large problems. (In theory, these methods terminate in a finite number...
53 KB (6,165 words) - 15:32, 2 August 2025
This is a list of numerical analysis topics. Validated numerics Iterative method Rate of convergence — the speed at which a convergent sequence approaches...
70 KB (8,327 words) - 09:12, 7 June 2025
In the field of mathematical optimization, Lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization...
9 KB (1,098 words) - 18:49, 27 December 2024
Markov decision process (redirect from Methods for solving Markov decision processes)
included as a special case the value iteration method for MDPs, but this was recognized only later on. In policy iteration (Howard 1960) harv error: no target:...
35 KB (5,169 words) - 09:26, 6 August 2025
Stein-Rosenberg theorem (category Relaxation (iterative methods))
Matrix Iterative Analysis. In the words of Richard Varga: the Stein-Rosenberg theorem gives us our first comparison theorem for two different iterative methods...
2 KB (391 words) - 16:07, 26 March 2024
equations are almost universally solved by means of an iterative method, although the fixed-point iteration algorithm does not always converge. This solution...
31 KB (4,739 words) - 23:21, 4 July 2025
by Ralph E. Gomory. Cutting plane methods for MILP work by solving a non-integer linear program, the linear relaxation of the given integer program. The...
10 KB (1,570 words) - 21:55, 13 July 2025
primal method. Non-overlapping domain decomposition methods are also called iterative substructuring methods. Mortar methods are discretization methods for...
17 KB (1,942 words) - 10:04, 18 July 2025
Ming; Rowe, William; Li, Jian (2012). "Fast implementation of sparse iterative covariance-based estimation for source localization". The Journal of the...
5 KB (549 words) - 15:29, 3 June 2025
Numerical analysis (redirect from Numeric method)
non-square matrices. Iterative methods such as the Jacobi method, Gauss–Seidel method, successive over-relaxation and conjugate gradient method are usually preferred...
39 KB (3,919 words) - 12:01, 23 June 2025
Dynamic relaxation is a numerical method, which, among other things, can be used to do "form-finding" for cable and fabric structures. The aim is to find...
5 KB (884 words) - 16:57, 3 April 2025
Auction algorithm (category Optimization algorithms and methods)
highest bidders. The original form of the auction algorithm is an iterative method to find the optimal prices and an assignment that maximizes the net...
7 KB (802 words) - 22:04, 14 September 2024
The algebraic reconstruction technique (ART) is an iterative reconstruction technique used in computed tomography. It reconstructs an image from a series...
4 KB (521 words) - 11:06, 9 June 2023
Anderson acceleration (category Iterative methods)
also called Anderson mixing, is a method for the acceleration of the convergence rate of fixed-point iterations. Introduced by Donald G. Anderson, this...
18 KB (3,111 words) - 00:29, 23 July 2025
(SIMPLE Revised), that was introduced by Patankar in 1979. The algorithm is iterative. The basic steps in the solution update are as follows: Set the boundary...
3 KB (384 words) - 21:20, 7 June 2024