Bisection method

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf Numerical method
Root-finding algorithm
gptkbp:alsoKnownAs Binary search method
Interval halving method
gptkbp:basedOn gptkb:Intermediate_Value_Theorem
gptkbp:category Numerical root-finding methods
gptkbp:guarantees Convergence to a root
gptkbp:has_time_complexity O(log(1/ε))
https://www.w3.org/2000/01/rdf-schema#label Bisection method
gptkbp:input Continuous function
Interval [a, b]
Tolerance ε
gptkbp:is_iterative True
gptkbp:is_robust True
gptkbp:is_slow_compared_to gptkb:Newton's_method
gptkb:Secant_method
gptkbp:output Approximate root
gptkbp:requires Continuous function
Interval with function values of opposite sign
gptkbp:used_in gptkb:Physics
Engineering
Computer science
Numerical analysis
Computational mathematics
gptkbp:usedFor Finding roots of continuous functions
gptkbp:was_described_by gptkb:Bolzano
Cauchy
gptkbp:bfsParent gptkb:Newton-Raphson_method
gptkb:Newton's_Method
gptkbp:bfsLayer 7