Matrix properties
number of rows	16,706
number of columns	16,706
nonzeros	242,502
# strongly connected comp.	1,029
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	no
positive definite?	no

author	M. Newman
editor	M. Newman
date	2001
kind	undirected weighted graph
2D/3D problem?	no

Additional fields	size and type
nodename	full 16706-by-32

Notes:

Network collection from M. Newman                                         
http://www-personal.umich.edu/~mejn/netdata/                              
                                                                          
The graph astro-ph contains the collaboration network of scientists       
posting preprints on the astrophysics archive at www.arxiv.org, 1995-1999,
as compiled by M. Newman.  The network is weighted, with weights assigned 
as described in the original papers.  Please cite, as appropriate, one or 
more of:                                                                  
                                                                          
  M. E. J. Newman, The structure of scientific collaboration networks,    
  Proc. Natl. Acad. Sci. USA 98, 404-409 (2001).                          
                                                                          
  M. E. J. Newman, Scientific collaboration networks: I. Network          
  construction and fundamental results, Phys. Rev. E 64, 016131 (2001).   
                                                                          
  M. E. J. Newman, Scientific collaboration networks: II. Shortest paths, 
  weighted networks, and centrality, Phys. Rev. E 64, 016132 (2001).      

SVD-based statistics:
norm(A)	33.7575
min(svd(A))	2.03601e-36
cond(A)	1.65802e+37
rank(A)	15,668
null space dimension	1,038
full numerical rank?	no
singular value gap	5.65862e+06

singular values (MAT file):	click here
SVD method used:	s = svd (full (A)) ;
status:	ok

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.