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In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line , also called a bisector .
In mathematics, the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs. The method consists of repeatedly bisecting the interval defined by these values and then selecting the subinterval in which the function changes sign, and therefore must contain a root .
Bisection is a method used in software development to identify change sets that result in a specific behavior change. It is mostly employed for finding the patch that introduced a bug . Another application area is finding the patch that indirectly fixed a bug.
The bisection bandwidth of a network topology is the minimum bandwidth available between any two such partitions. [1] Given a graph G {\displaystyle G} with vertices V {\displaystyle V} , edges E {\displaystyle E} , and edge weights w {\displaystyle w} , the bisection bandwidth of G {\displaystyle G} is
The bisection method has been generalized to higher dimensions; these methods are called generalized bisection methods. [3] [4] At each iteration, the domain is partitioned into two parts, and the algorithm decides - based on a small number of function evaluations - which of these two parts must contain a root. In one dimension, the criterion ...
The bisection method based on Descartes' rules of signs and Vincent's auxiliary theorem has been introduced in 1976 by Akritas and Collins under the name of Modified Uspensky algorithm, [3] and has been referred to as the Uspensky algorithm, the Vincent–Akritas–Collins algorithm, or Descartes method, although Descartes, Vincent and Uspensky ...
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Bisection method, a root-finding algorithm; Equidistant set; Other uses. Bisect (philately), the use of postage stamp halves; Bisector (music), a half octave in ...