Matrix: JGD_SPG/08blocks
Description: Symmetric powers of graphs from Gordon Royle, Univ Western Australia
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 300 |
number of columns | 300 |
nonzeros | 592 |
structural full rank? | yes |
structural rank | 300 |
# of blocks from dmperm | 300 |
# strongly connected comp. | 8 |
explicit zero entries | 0 |
nonzero pattern symmetry | 3% |
numeric value symmetry | 0% |
type | integer |
structure | unsymmetric |
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/08blocks.sms
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 876 |
Cholesky flop count | 2.6e+03 |
nnz(L+U), no partial pivoting, with AMD | 1,452 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 300 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,776 |
SVD-based statistics: | |
norm(A) | 385.446 |
min(svd(A)) | 0.0735189 |
cond(A) | 5242.82 |
rank(A) | 300 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.