analysis, the rate of convergence and order of convergence of a sequence that converges to a limit are any of several characterizations of how quickly that...

the radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges. It is either...

series acceleration method is any one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration...

exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength...

for a root of multiplicity 1, the convergence is at least quadratic (see Rate of convergence) in some sufficiently small neighbourhood of the root: the...

change have happened to the content of the "convergence criteria article" and its referred to Protocol on the Convergence Criteria and Protocol on the Excessive...

discretization error will be large and the rate of convergence will be impaired; the solution may not converge at all. A solution is considered grid-independent...

conditions, can be used to show uniform weak convergence, which can be used to prove the convergence of extremum estimators. Let { H n ( θ ) : n ≥ 1 }...

low learning rate will either take too long to converge or get stuck in an undesirable local minimum. In order to achieve faster convergence, prevent oscillations...

faster convergence rates. Analysis of POCS and related methods attempt to show that the algorithm converges (and if so, find the rate of convergence), and...

divergent. Convergence means there is a value after summing infinitely many terms, whereas divergence means no value after summing. The convergence of a geometric...

process, a numerical analysis technique used for accelerating the rate of convergence of a sequence DEL2, the second tier ice hockey league in Germany Del...

compares the convergence rates of these two series: After five terms, the sum of the Gregory–Leibniz series is within 0.2 of the correct value of π, whereas...

according to the Glivenko–Cantelli theorem. A number of results exist to quantify the rate of convergence of the empirical distribution function to the underlying...

advantage of using low-discrepancy sequences is a faster rate of convergence. Quasi-Monte Carlo has a rate of convergence close to O(1/N), whereas the rate for...

growth rate) being held constant. They say that "unconditional beta-convergence" or "absolute beta-convergence" exists when the growth rate of an economy...

This means that the iterates converge to the zero if the initial guess is sufficiently close, and that the convergence is cubic. The following alternative...

of a sequence and nonlinear mappings, more generally. They are commonly used for series acceleration, that is, for improving the rate of convergence of...

subsequence; for this class of problems, Newton's method is recommended and enjoys a quadratic rate of convergence, while no convergence rate analysis has been...

probability 1 to that underlying distribution. A number of results exist to quantify the rate of convergence of the empirical distribution function to the underlying...

effective condition number. The second stage of convergence is typically well defined by the theoretical convergence bound with κ ( A ) {\textstyle {\sqrt {\kappa...

fixed-point method, demonstrates at least linear convergence. More detailed analysis shows quadratic convergence, i.e., | x n − x fix | < C q 2 n {\textstyle...

transformation is a non-linear series acceleration method to increase the rate of convergence of a sequence. This method is named after Daniel Shanks, who rediscovered...

In numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exact solution...

accelerating the rate of convergence of a sequence. It is named after Alexander Aitken, who introduced this method in 1926 as part of an extension to Bernoulli's...

derived it around 1800, and Rodion Kuzmin, who gave a bound on the rate of convergence in 1929. It is given by the probability mass function p ( k ) = −...

sequence acceleration method used to improve the rate of convergence of a sequence of estimates of some value A ∗ = lim h → 0 A ( h ) {\displaystyle...

however, convergence is not guaranteed, not even local convergence as in Newton's method, or convergence under the usual Wolfe conditions. The rate of convergence...

Nonasymptotic theory of the rate of convergence of learning processes How fast is the rate of convergence of the learning process? Theory of controlling the...

Lochs's theorem concerns the rate of convergence of the continued fraction expansion of a typical real number. A proof of the theorem was published in...