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Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:alsoKnownAs |
gptkb:Newton–Raphson_method
|
| gptkbp:appliesTo |
gptkb:Mathematics
Engineering Computer science |
| gptkbp:category |
Root-finding algorithms
|
| gptkbp:convergesTo |
Quadratic (under suitable conditions)
|
| gptkbp:firstPublished |
gptkb:Newton's_1671_work_'Method_of_Fluxions'
|
| gptkbp:form |
x_{n+1} = x_n - f(x_n)/f'(x_n)
|
| gptkbp:generalizes |
gptkb:Secant_method
|
| https://www.w3.org/2000/01/rdf-schema#label |
Newton's method
|
| gptkbp:iterativeMethod |
Yes
|
| gptkbp:limitation |
Fails if derivative is zero at root
May not converge if initial guess is poor |
| gptkbp:namedAfter |
gptkb:Isaac_Newton
|
| gptkbp:relatedTo |
gptkb:Halley's_method
Fixed-point iteration |
| gptkbp:requires |
Derivative of the function
|
| gptkbp:usedFor |
Finding roots of real-valued functions
|
| gptkbp:bfsParent |
gptkb:Isaac_Newton
|
| gptkbp:bfsLayer |
4
|