The interval design does not allow for skipping dose levels between consecutivecohorts.12.2 Convergence of Raw Point EstimatesThe following result might seem self-evident, but surprisingly we could not find anypublished reference where it appears. All long-memory proofs mentioned aboveimplicitly use it...
Improvement of convergence of an iterative method for finding polynomial factors of analytic functionsdoi:10.1016/S0377-0427(01)00524-6Factoring methodZeros of analytic functionsComplex interval arithmeticIn this paper, we consider an iterative method for evaluating the coefficients of a monic factor of...
In special cases, the Newton-like and Halley-like algorithms for the determination of simple or multiple zero are obtained. Both algorithms produce the disks containing the requested zero, which provides automatically an information about the upper errorbound. The convergence analysis, including initial...
a sequence of intervals can be obtained by computing theintersection of the sequence of broken lines with the abscissa axis.The sequence ofthese intervals converges to the root with a convergence rate of 2.Numerical examplesshow th...
of the observed serial interval for COVID-19 during the early stages of the outbreak when the generation interval and the observed serial interval had yet to reduce substantially due to the influence of non-pharmaceutical interventions [28,29,30]. With the exception ofω(τ), all other ...
On convergence behavior of an iterative method for finding polynomial factors of analytic functions Convergence properties of an iterative method for evaluating the coefficients of a monic factor of a power series f(z) are considered. A factoring method t... T Sakurai,H Sugiura - China-japan Sem...
values per group; error bars = ± SEM.bWithin the Positive group (n = 26), positive emotion tracked changes in positive content over time. The shaded band represents the 95% confidence interval on the best-fitting regression line. Source data are provided as a Source Data file....
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 ...
Sufficient Conditions for the Linear Convergence of an Algorithm for Finding the Metric Projection of a Point onto a Convex Compact Set Many problems, for example, problems on the properties of the reachability set of a linear control system, are reduced to finding the projection of zero on......
The Secant Method issecond bestto Newton’s Method. It is most applicable for situations requiringfaster convergencethan Bisection, but it is too difficult orimpossibleto take ananalytical derivativeof the functionf(x). Conclusion Implementing root-finding algorithms is valuable forengineering and mathem...