Hadamard's maximal determinant problem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
determinant of matrices
matrices with entries of bounded absolute value |
| gptkbp:field |
linear algebra
matrix theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Hadamard's maximal determinant problem
|
| gptkbp:maximumAchievedBy |
Hadamard matrix when n is 1, 2, or a multiple of 4
|
| gptkbp:maximumDeterminantBound |
n^{n/2}
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
|
| gptkbp:openProblemFor |
general n
|
| gptkbp:proposedBy |
1893
|
| gptkbp:relatedTo |
gptkb:Hadamard's_inequality
gptkb:Hadamard_matrix |
| gptkbp:solutionKnownFor |
n divisible by 4
|
| gptkbp:type |
What is the largest possible determinant of an n×n matrix with entries bounded in absolute value by 1?
|
| gptkbp:bfsParent |
gptkb:Jacques_Hadamard
|
| gptkbp:bfsLayer |
6
|