Newton–Raphson method for single variable
GPTKB entity
Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:alsoKnownAs |
gptkb:Newton's_method
|
| gptkbp:appliesTo |
Differentiable functions
|
| gptkbp:canDiverge |
Yes, under certain conditions
|
| gptkbp:category |
Root-finding algorithms
Numerical analysis |
| gptkbp:complexity |
Depends on function and initial guess
|
| gptkbp:convergesTo |
Quadratically (under suitable conditions)
|
| gptkbp:developedBy |
gptkb:Joseph_Raphson
gptkb:Isaac_Newton |
| gptkbp:failsWhen |
Derivative is zero at root
Initial guess is far from root |
| gptkbp:firstPublished |
17th century
|
| gptkbp:form |
x_{n+1} = x_n - f(x_n)/f'(x_n)
|
| gptkbp:generalizes |
Newton–Raphson method for systems of equations
|
| https://www.w3.org/2000/01/rdf-schema#label |
Newton–Raphson method for single variable
|
| gptkbp:namedAfter |
gptkb:Joseph_Raphson
gptkb:Isaac_Newton |
| gptkbp:relatedTo |
gptkb:Secant_method
Fixed-point iteration |
| gptkbp:requires |
Derivative of the function
Initial guess |
| gptkbp:supportsAlgorithm |
Iterative method
|
| gptkbp:usedFor |
Finding roots of real-valued functions
|
| gptkbp:usedIn |
gptkb:Mathematics
gptkb:Physics Engineering Computer science |
| gptkbp:bfsParent |
gptkb:Newton–Raphson_method_for_systems
|
| gptkbp:bfsLayer |
8
|