Janna/Queen_4147

3D structural problem
Name Queen_4147
Group Janna
Matrix ID 2660
Num Rows 4,147,110
Num Cols 4,147,110
Nonzeros 316,548,962
Pattern Entries 329,499,284
Kind 2D/3D Problem
Symmetric Yes
Date 2014
Author C. Janna, M. Ferronato
Editor T. Davis
Structural Rank 4,147,110
Structural Rank Full true
Num Dmperm Blocks 149,447
Strongly Connect Components 149,447
Num Explicit Zeros 12,950,322
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate yes
Positive Definite yes
Type real
Download MATLAB Rutherford Boeing Matrix Market
Notes 
Janna/Queen_4147: 3D structural problem                        
                                                               
Authors: Carlo Janna and Massimiliano Ferronato                
Symmetric Positive Definite Matrix                             
# equations:     4,147,110                                     
# non-zeroes:  329,499,288                                     
                                                               
The matrix Queen_4147 is obtained from the 3D discretizaion    
of a structural problem by isoparametric hexahedral Finite     
Elements. The solid material is strongly heterogeneous and     
several elements exhibit shape distortion thus producing an    
ill-conditioned stiffness matrix.                              
                                                               
Further information may be found in the following paper:       
                                                               
1) C. Janna, M. Ferronato, G. Gambolati. "The use of supernodes
in factored sparse approximate inverse preconditioning". SIAM  
Journal on Scientific Computing, submitted.