Inthisarticlewesuggestthatexaminationofconvergenceisanecessaryqualitycheckfordose-findingdesigns.Wepresentanewconvergenceproofforanonparametricfamilyofmethodscalled“intervaldesigns,”undercertainconditionsonthetoxicity-frequencyfunctionF.WecomparetheseconditionswiththeconvergenceconditionsforthepopularCRMone-parameterPhaseI...
Section 4 proposes recurrent testing (function computation) at each search step, at the point of the interval corresponding to our inequality; the convergence of this algorithm is discussed. Section 5 discusses a test selection criterion, relative to which the asymptotic inequality for the root ...
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......
Both algorithms produce the disks containing the requested zero, which provides automatically an information about the upper errorbound. The convergence analysis, including initial convergence conditions, has been performed in the presence of multiplicity for both methods. Numerical examples are given....
Finding positive meaning in past negative memories is associated with enhanced mental health. Yet it remains unclear whether it leads to updates in the memory representation itself. Since memory can be labile after retrieval, this leaves the potential fo
The rate of convergence outspeeds the reported tolerance, so tolerance was set at 1e-8 originally, because setting the tolerance too low often caused additional jumps that lead to a worse solution. The new implementation uses a criterion which allows us to search to the limits of machine ...
A generalization of the Siewert-Burniston method for the determination of zeros of analytic functions The Siewert–Burniston method for the derivation of closed‐form formulas for the zeros of sectionally analytic functions with a discontinuity interval alo... EG Anastasselou,NI Ioakimidis - 《Journ...
New ones are found by clustering in the consensus space. This new formulation leads to a simple iterative algorithm with state-of-the-art accuracy while running in real-time on a number of vision problems – at least two orders of magnitude faster than the competit...
Figure 1 is aplotof Equation 1 over the interval [-1, 5]. Azeroorrootis anyvalue of x when f(x) equals 0. i.e.the location where thecurve moves across the x-axis. In this case, a root lies somewhere betweenx₀ = 1andx₁= 2. ...
To improve the slow convergence of the bisection method, the secant method assumes that the function is approximately linear in the local region of interest and uses the zero-crossing of the line connecting the limits of the interval as the new reference point. The next iteration starts from ev...