Math Methods Tutorial 2 : Finding the Radius of Convergence of Perturbation Series .Bender, Carl
Does the Maclaurin series for cos x converge for all x? Yes, the Maclaurin series for cos(x) converges for all values of x. This can be shown by applying the ratio test, which tells us that this series has an infinite radius of convergence.Taylor...
Using weight decay and path length limitation at the same time, convergence is not much improved but instead time to convergence increases as the memory limiting effect is getting too strong. The degree of improvement relies also on the size and degree of overlap (coverage density) in the ...
All examples below use either p = 1 or p = 2. While often successful, this class of deflation operator can sometimes induce numerical difficulties for a nonlinear rootfinding algorithm: the rootfinding algorithm can erroneously report convergence due to small residuals, even when u is far away ...
Local convergenceRadius of convergenceIn this paper, an estimate of the radius of convergence ball of the modified Chebyshev's method for finding multiple roots of nonlinear equations is provided under the hypotheses that the ( m +1)st derivative f ( m +1) of function f is Hlder continuous...
A common way of finding the poles of a meromorphic function f in a domain, where an explicit expression of f is unknown but f can be evaluated at any given z, is to interpolate f by a rational function such that at prescribed sample points , and then find the roots of q. This is ...
In this section, to demonstrate the effectiveness of the proposed method, numerical examples for the design of an asymmetric cable network antenna are presented. A finite element model of the cable mesh antenna structure was built with the ANSYS software. Three views of the antenna structure are ...