Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:alsoKnownAs |
gptkb:Newton–Raphson_method
|
| gptkbp:application |
gptkb:Physics
Engineering Computer science |
| gptkbp:convergesTo |
Quadratically (under suitable conditions)
|
| gptkbp:field |
gptkb:Mathematics
Numerical analysis |
| gptkbp:firstPublished |
1690
|
| gptkbp:form |
x_{n+1} = x_n - f(x_n)/f'(x_n)
|
| gptkbp:generalizes |
gptkb:Newton's_method
|
| https://www.w3.org/2000/01/rdf-schema#label |
Raphson's method
|
| gptkbp:input |
Initial guess
|
| gptkbp:limitation |
May diverge for poor initial guess
May fail if derivative is zero |
| gptkbp:namedAfter |
gptkb:Joseph_Raphson
|
| gptkbp:output |
Approximate root
|
| gptkbp:relatedTo |
gptkb:Isaac_Newton
|
| gptkbp:requires |
Derivative of the function
|
| gptkbp:supportsAlgorithm |
Iterative method
|
| gptkbp:usedFor |
Finding roots of real-valued functions
|
| gptkbp:bfsParent |
gptkb:Joseph_Raphson
|
| gptkbp:bfsLayer |
7
|