Matrix properties
number of rows	1,602,111
number of columns	1,602,111
nonzeros	23,487,281
structural full rank?	yes
structural rank	1,602,111
# of blocks from dmperm	962
# strongly connected comp.	962
explicit zero entries	13,450
nonzero pattern symmetry	symmetric
numeric value symmetry	0%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	C. Janna, M. Ferronato, G. Pini
editor	T. Davis
date	2012
kind	structural problem
2D/3D problem?	yes

Notes:

Authors: Carlo Janna, Massimiliano Ferronato, Giorgio Pini      
Matrix type: Unsymmetric                                        
# equations:       1,602,111                                    
# non-zeroes:     23,500,731                                    
                                                                
Problem description: 3D Finite Element flow and transport       
                                                                
The matrix Transport has been obtained by a FE tetrahedral      
discretization of a density driven coupled flow and transport.  
                                                                
Further information can be found in the following papers:       
                                                                
1) A. Mazzia, and M. Putti. High order Godunov mixed methods on 
tetrahedral meshes for density driven flow simulations in porous
media. Journal of Computational Physics 208 (2005), pp. 154-174.
                                                                
2) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI 
preconditioner for unsymmetric indefinite matrices. Journal of  
Computational and Applied Mathematics (2012), submitted.        

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	3,105,250,223
Cholesky flop count	3.6e+13
nnz(L+U), no partial pivoting, with AMD	6,208,898,335
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	5,082,701,296
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	9,218,957,849

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13450 explicit zero entries.

For a description of the statistics displayed above, click here.

Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.