Precima/analytics: data analytics problem
Name analytics
Group Precima
Matrix ID 2851
Num Rows 303,813
Num Cols 303,813
Nonzeros 2,006,126
Pattern Entries 2,006,126
Kind Data Analytics Problem
Symmetric Yes
Date 2018
Author C. Ugaz
Editor T. Davis
Structural Rank 303,813
Structural Rank Full true
Num Dmperm Blocks 41,422
Strongly Connect Components 41,422
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type real
Download MATLAB Rutherford Boeing Matrix Market
Precima: data analytics problem                                        
Submitted by Carl Ugaz, Precima, Inc.               
The matrix is nonsingular, ill-conditioned,, and symmetric indefinite. 
If factorized with KLU, best results are obtained if the permutation to
block triangular form (BTF) is not used, because it breaks the symmetry
of the pattern.                                                        
Ignoring the diagonal (which has some zero entries and some nonzero)   
the undirected graph of A divides into 41,422 connected components.    
Of those, 40,966 are single nodes, and 451 components have between     
4 and 90 nodes.  The remaining 5 components have 93738, 89686, 40319,  
15884, and 4289 nodes, respectively.