Your English writing platform
Free sign upSuggestions(1)
Exact(1)
The procedure is very effective for low-order systems (n≤3), since in this case a bisection algorithm can be used for the partitioning.
Similar(59)
See Appendix 1. Form Proposition 1, a bisection search algorithm can be employed to solve the KKT conditions (35)–(39), which leads to the optimal solution of the problem (24)–(24).
Building on the solution for (10), an efficient bisection search algorithm can be then implemented to find the max-min SINR beamformers for (5) with guaranteed global optimality and geometrically fast convergence speed [28].
As a result, the state space is partitioned in one or more subsets containing all the equilibrium points that fall inside the initial search subspace S ~ 0. In fact, due to the computational burden, the bisection algorithm can only be applied to systems of dimension less or equal than three (see for example Figure 5 in [ 21], where a two-dimensional system is analyzed).
Based upon a bisection algorithm, (hat mu ) can be numerically calculated and is the solution of the equation (f'(mu)=0|_{mu =hat mu }, ) i.e. begin{array}{*{20}l} sumlimits_{i=1}^{n}|x_{i}-hatmu|^{p-1}text{sign} (hatmu-x_{i})=0.
Building on the solutions to these "dual" problems, an efficient bisection search algorithm can thus be applied to find the optimal max-min SINR solution.
Notice that the bisection method can be used to calculate numerically the optimum power allocation (13).
Given a lower and upper bound for each possible solution, a standard root finding method (e.g. bisection method) can be applied.
An interval bisection process can be used to find the point estimate and confidence interval for ψ.
This algorithm relies on the waterfilling and bisection methods that can be implemented very efficiently (see e.g.[40]).[40]
The bisection search procedure can be applied to solve (40).
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com