Statements (19)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:matrix_identity
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            
                                            matrix inversion lemma
                                        
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            invertible matrices
                                        
                                        
                                         | 
                            
| gptkbp:category | 
                                    
                                        
                                            
                                            matrix theory
                                        
                                        
                                         mathematical identities  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            formula for the inverse of a sum of matrices
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            numerical analysis
                                        
                                        
                                         linear algebra  | 
                            
| gptkbp:form | 
                                    
                                        
                                            
                                            (A + UCV)^(-1) = A^(-1) - A^(-1)U(C^(-1) + VA^(-1)U)^(-1)VA^(-1)
                                        
                                        
                                         | 
                            
| gptkbp:generalizes | 
                                    
                                        
                                            gptkb:Sherman–Morrison_formula
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Max_A._Woodbury
                                        
                                         | 
                            
| gptkbp:publicationYear | 
                                    
                                        
                                            
                                            1950
                                        
                                        
                                         | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            gptkb:Econometrica
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            gptkb:machine_learning
                                        
                                         gptkb:signal_processing statistics  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Alice_Motley_Woodbury
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            7
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Woodbury matrix identity
                                        
                                        
                                         |