Newton-Raphson method

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf Numerical method
Root-finding algorithm
gptkbp:alsoKnownAs gptkb:Newton's_method
gptkbp:application gptkb:Physics
Engineering
Computer science
Optimization
gptkbp:category Numerical root-finding methods
gptkbp:complexity Depends on function and initial guess
gptkbp:convergenceType Quadratic convergence (under suitable conditions)
gptkbp:field gptkb:Mathematics
Numerical analysis
gptkbp:firstPublished gptkb:Raphson:_1690
Newton: 1671 (published 1736)
gptkbp:form x_{n+1} = x_n - f(x_n)/f'(x_n)
gptkbp:generalizes gptkb:Multivariate_Newton's_method
gptkb:Secant_method
https://www.w3.org/2000/01/rdf-schema#label Newton-Raphson method
gptkbp:limitation Fails if derivative is zero at root
May not converge if initial guess is poor
gptkbp:namedAfter gptkb:Joseph_Raphson
gptkb:Isaac_Newton
gptkbp:purpose Find roots of real-valued functions
gptkbp:relatedTo gptkb:Halley's_method
gptkb:Secant_method
gptkb:Bisection_method
Fixed-point iteration
gptkbp:requires Derivative of the function
gptkbp:supportsAlgorithm Iterative method
gptkbp:usedFor Solving nonlinear equations
gptkbp:bfsParent gptkb:Fisher's_scoring_algorithm
gptkbp:bfsLayer 6