Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:alsoKnownAs |
gptkb:Newton's_method
|
| gptkbp:application |
gptkb:Mathematics
gptkb:Physics Engineering Computer science |
| gptkbp:category |
Root-finding algorithms
Numerical algorithms |
| gptkbp:convergenceType |
Quadratic convergence (under suitable conditions)
|
| gptkbp:field |
Numerical analysis
|
| gptkbp:firstPublished |
Newton: 1671 (published 1736), Raphson: 1690
|
| 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 guess
May fail to converge if initial guess is poor |
| gptkbp:namedAfter |
gptkb:Joseph_Raphson
gptkb:Isaac_Newton |
| gptkbp:requires |
Derivative of the function
|
| gptkbp:supportsAlgorithm |
Iterative method
|
| gptkbp:usedFor |
Finding roots of real-valued functions
|
| gptkbp:bfsParent |
gptkb:Newton's_method
|
| gptkbp:bfsLayer |
5
|