Matrix: JGD_SPG/EX6
Description: Symmetric powers of graphs from Gordon Royle, Univ Western Australia
(undirected graph drawing) |
Matrix properties | |
number of rows | 6,545 |
number of columns | 6,545 |
nonzeros | 295,680 |
structural full rank? | yes |
structural rank | 6,545 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | G. Royle |
editor | J.-G. Dumas |
date | 2008 |
kind | combinatorial problem |
2D/3D problem? | no |
Notes:
Symmetric powers of graphs from Gordon Royle, Univ Western Australia From Jean-Guillaume Dumas' Sparse Integer Matrix Collection, http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html http://www.csse.uwa.edu.au/~gordon/sympower.html Filename in JGD collection: SPG/EX6.sms
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 15,203,059 |
Cholesky flop count | 5.5e+10 |
nnz(L+U), no partial pivoting, with AMD | 30,399,573 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 19,253,430 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 20,660,929 |
SVD-based statistics: | |
norm(A) | 45.2591 |
min(svd(A)) | 8.50982e-58 |
cond(A) | 5.31846e+58 |
rank(A) | 4,740 |
sprank(A)-rank(A) | 1,805 |
null space dimension | 1,805 |
full numerical rank? | no |
singular value gap | 2.5302e+12 |
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.