Matrix properties
number of rows	1,498,023
number of columns	1,498,023
nonzeros	59,374,451
structural full rank?	yes
structural rank	1,498,023
# of blocks from dmperm	30,001
# strongly connected comp.	30,001
explicit zero entries	1,542,994
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	yes
positive definite?	yes

author	C. Janna, M. Ferronato
editor	T. Davis
date	2011
kind	structural problem
2D/3D problem?	yes

Notes:

Authors: Carlo Janna and Massimiliano Ferronato                
                                                               
Symmetric Positive Definite Matrix                             
# equations:   1498023                                         
# non-zeroes: 60917445                                         
Problem description: Structural problem                        
                                                               
The matrix Hook_1498 is obtained from a 3D mechanical problem  
discretizing a steel hook with tetrahedral Finite Elements. The
computational grid consists of regularly shaped elements with  
three displacement unknowns associated to each node.           

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	2,437,506,980
Cholesky flop count	2.1e+13
nnz(L+U), no partial pivoting, with AMD	4,873,515,937
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	5,068,138,567
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	10,687,777,183

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1542994 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.