Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:application |
computational fluid dynamics
engineering scientific computing finite element analysis |
| gptkbp:canBe |
sparse matrices
large linear systems |
| gptkbp:category |
numerical linear algebra
|
| gptkbp:convergesTo |
diagonally dominant matrices
symmetric positive definite matrices |
| gptkbp:firstPublished |
1874
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss–Seidel method
|
| gptkbp:improves_upon |
Jacobi method
|
| gptkbp:iteration_formula |
x_i^{(k+1)} = (1/a_{ii}) (b_i - sum_{j<i} a_{ij} x_j^{(k+1)} - sum_{j>i} a_{ij} x_j^{(k)})
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Philipp_Ludwig_von_Seidel |
| gptkbp:output |
approximate solution
|
| gptkbp:relatedTo |
Jacobi method
|
| gptkbp:requires |
initial guess
|
| gptkbp:type |
gptkb:stationary_iterative_method
|
| gptkbp:usedFor |
solving linear systems
|
| gptkbp:bfsParent |
gptkb:Louis_Gauss
|
| gptkbp:bfsLayer |
6
|