Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:matrix_pseudoinverse
|
| gptkbp:alsoKnownAs |
gptkb:generalized_inverse
|
| gptkbp:application |
gptkb:machine_learning
gptkb:signal_processing control theory statistics |
| gptkbp:category |
matrix theory
|
| gptkbp:definedIn |
any matrix
|
| gptkbp:field |
linear algebra
|
| gptkbp:introducedIn |
1955
|
| gptkbp:namedAfter |
gptkb:Roger_Penrose
gptkb:Eliakim_Hastings_Moore |
| gptkbp:notation |
A^+
|
| gptkbp:property |
coincides with inverse for invertible matrices
unique pseudoinverse satisfying four Penrose conditions |
| gptkbp:relatedTo |
singular value decomposition
least squares approximation matrix rank |
| gptkbp:usedFor |
least squares solutions
solving linear equations |
| gptkbp:bfsParent |
gptkb:E._H._Moore
|
| gptkbp:bfsLayer |
5
|
| http://www.w3.org/2000/01/rdf-schema#label |
Moore–Penrose inverse
|