Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:application |
gptkb:Lagrange_interpolation
Fourier analysis cryptography error-correcting codes solving systems of equations |
| gptkbp:category |
structured matrix
|
| gptkbp:elementFormula |
V_{i,j} = x_i^{j-1}
|
| gptkbp:field |
gptkb:mathematics
linear algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Vandermonde matrix
|
| gptkbp:invertibleIf |
all x_i are distinct
|
| gptkbp:namedAfter |
gptkb:Alexandre-Théophile_Vandermonde
|
| gptkbp:property |
columns are powers of variables
determinant has closed-form expression rows are geometric progressions |
| gptkbp:relatedTo |
gptkb:Cauchy_matrix
Toeplitz matrix |
| gptkbp:usedIn |
gptkb:signal_processing
coding theory polynomial interpolation |
| gptkbp:bfsParent |
gptkb:Lagrange_interpolation
|
| gptkbp:bfsLayer |
6
|