Newton–Raphson method for systems
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical method
|
| gptkbp:appliesTo |
System of nonlinear equations
|
| gptkbp:basedOn |
gptkb:Newton–Raphson_method
|
| gptkbp:canFailIf |
Jacobian is singular
Poor initial guess |
| gptkbp:category |
Root-finding algorithms
|
| gptkbp:convergesQuadratically |
true
|
| gptkbp:firstDescribed |
19th century
|
| gptkbp:generalizes |
gptkb:Newton–Raphson_method_for_single_variable
|
| https://www.w3.org/2000/01/rdf-schema#label |
Newton–Raphson method for systems
|
| gptkbp:iterative |
true
|
| gptkbp:namedAfter |
gptkb:Joseph_Raphson
gptkb:Isaac_Newton |
| gptkbp:requires |
Initial guess
Function evaluation Jacobian inversion |
| gptkbp:usedIn |
gptkb:Mathematics
gptkb:Physics Engineering Numerical analysis |
| gptkbp:uses |
Jacobian matrix
|
| gptkbp:bfsParent |
gptkb:Multivariate_Newton's_method
|
| gptkbp:bfsLayer |
7
|