In numerical analysis, fixed-point iteration is a method of computing fixed points of a function. More specifically, given a function f {\displaystyle...

of attracting fixed points, repelling fixed points, and periodic points are defined with respect to fixed-point iteration. A fixed-point theorem is a result...

specific types of recursive computations, such as those in fixed-point iteration, iterative methods, recursive join in relational databases, data-flow...

each iteration of the algorithm produces a successively more accurate approximation to the root. Since the iteration must be stopped at some point, these...

recently calculated iteration of x j {\displaystyle x_{j}} . The procedure is generally continued until the changes made by an iteration are below some tolerance...

Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point...

ordered metric spaces for coupled fixed point iteration procedures for mixed monotone mappings. Kakutani fixed-point theorem: Every correspondence that...

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

the Banach fixed-point theorem shows that the fixed point π is the unique fixed point on the interval, allowing for fixed-point iteration to be used....

solution x. Here xn is the nth approximation or iteration of x and xn+1 is the next or n + 1 iteration of x. Alternately, superscripts in parentheses are...

acceleration of the sequences produced by fixed point iteration. For example, the Aitken method applied to an iterated fixed point is known as Steffensen's method...

right for the E {\displaystyle E} on the right yields a simple fixed-point iteration algorithm for evaluating E ( e , M ) {\displaystyle E(e,M)} . This...

the proximity operator explicitly, then we can define a standard fixed point iteration procedure. Namely, fix some initial w 0 ∈ R d {\displaystyle w^{0}\in...

{\displaystyle f(x)=x} . A classical approach to the problem is to employ a fixed-point iteration scheme; that is, given an initial guess x 0 {\displaystyle x_{0}}...

inputs: a fixed point iteration function, f, % and initial guess to the fixed point, p0, and a tolerance, tol. % The fixed point iteration function is...

computation was the fixed-point iteration algorithm of Banach. Banach's fixed-point theorem implies that, when fixed-point iteration is applied to a contraction...

FastICA seeks an orthogonal rotation of prewhitened data, through a fixed-point iteration scheme, that maximizes a measure of non-Gaussianity of the rotated...

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

fixed-point theorem proves that a solution can be obtained by fixed-point iteration of successive approximations. In this context, this fixed-point iteration...

calculate the order of convergence for a sequence generated by a fixed point iteration is to calculate the following sequence, which converges to the order...

denotes the least fixed point. Although Tarski's fixed point theorem does not consider how fixed points can be computed by iterating f from some seed (also...

values. Jones diagram – similar plotting technique Fixed-point iteration – iterative algorithm to find fixed points (produces a cobweb plot) Rosa, Alessandro...

iterative method instead. While a fixed-point iteration is tempting, it has been shown that such an iteration is sometimes divergent when applied to f {\displaystyle...

alternative is fixed-point iteration. If f {\displaystyle f} is the velocity of the system, then the Crank–Nicolson prediction will be a fixed point of the map...

greater than 1.0 at that point, then the value of M from the subsonic equation is used as the initial condition for fixed point iteration of the supersonic equation...

can be solved by a fixed-point iteration starting at ω Ψ = σ {\displaystyle \omega _{\Psi }=\sigma } (the fixed-point iterations converge to the unique...

probability integration, a method used in reliability engineering Fixed-point iteration Fluorescent penetrant inspection Formal Public Identifier Freiburger...

computed in both floating-point and fixed-point. For example, computing modulo 1 or modulo 2 for a binary point scaled fixed-point value requires only a bit...

Newton–Raphson method or a different fixed-point iteration can be used to solve FSI problems. Methods based on Newton–Raphson iteration are used in both the monolithic...

Stability theory Chaos theory Propagation of uncertainty This is a fixed point iteration for the equation x = ( x 2 − 2 ) 2 + x = f ( x ) {\displaystyle...