JGD_SL6/D_9
Differentials of the Voronoi complex of perfect forms
| Name | D_9 | 
| Group | JGD_SL6 | 
| Matrix ID | 2191 | 
| Num Rows | 815 | 
| Num Cols | 1,133 | 
| Nonzeros | 12,395 | 
| Pattern Entries | 12,395 | 
| Kind | Combinatorial Problem | 
| Symmetric | No | 
| Date | 2008 | 
| Author | P. Elbaz-Vincent | 
| Editor | J.-G. Dumas | 
 
 
| Structural Rank | 810 | 
| Structural Rank Full | false | 
| Num Dmperm Blocks | 2 | 
| Strongly Connect Components | 6 | 
| Num Explicit Zeros | 0 | 
| Pattern Symmetry | 0% | 
| Numeric Symmetry | 0% | 
| Cholesky Candidate | no | 
| Positive Definite | no | 
| Type | integer | 
 
| SVD Statistics | 
| Matrix Norm | 3.037619e+01 | 
| Minimum Singular Value | 1.220842e-30 | 
| Condition Number | 2.488134e+31 | 
| Rank | 491 | 
| sprank(A)-rank(A) | 319 | 
| Null Space Dimension | 324 | 
| Full Numerical Rank? | no | 
| Download Singular Values | MATLAB | 
 
 
| Download | MATLAB
Rutherford Boeing
Matrix Market | 
| Notes | 
Differentials of the Voronoi complex of perfect forms                    
from Philippe Elbaz-Vincent, Institut Fourier, Grenoble, France.         
                                                                         
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,             
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                
                                                                         
http://www-fourier.ujf-grenoble.fr/-Informations-personnelles-.html?P=pev
                                                                         
D_5  Smith Invariants = [ 1:92 3:2 18:1 ]                                
D_6  Smith Invariants = [ 1:338 2:1 ]                                    
D_7  Smith Invariants = [ 1:621 2:5 6:1 60:2 ]                           
D_8  Smith Invariants = [ 1:637 3:3 12:1 ]                               
D_9  Smith Invariants = [ 1:491 ]                                        
D_10 Smith Invariants = [ 1:318 2:3 4:2 ]                                
D_11 Smith Invariants = [ 1:129 2:6 6:1 ]                                
                                                                         
Filename in JGD collection: SL6/D_9.sms |