Matrix: JGD_Homology/ch5-5-b3
Description: Simplicial complexes from Homology from Volkmar Welker.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 600 |
number of columns | 600 |
nonzeros | 2,400 |
structural full rank? | yes |
structural rank | 600 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 2% |
numeric value symmetry | 1% |
type | integer |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | V. Welker |
editor | J.-G. Dumas |
date | 2008 |
kind | combinatorial problem |
2D/3D problem? | no |
Notes:
Simplicial complexes from Homology from Volkmar Welker. From Jean-Guillaume Dumas' Sparse Integer Matrix Collection, http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html http://www.mathematik.uni-marburg.de/~welker/ Filename in JGD collection: Homology/ch5-5.b3.600x600.sms
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 42,083 |
Cholesky flop count | 6.5e+06 |
nnz(L+U), no partial pivoting, with AMD | 83,566 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 37,492 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 60,846 |
SVD-based statistics: | |
norm(A) | 3.16228 |
min(svd(A)) | 6.04071e-19 |
cond(A) | 5.23494e+18 |
rank(A) | 424 |
sprank(A)-rank(A) | 176 |
null space dimension | 176 |
full numerical rank? | no |
singular value gap | 2.99813e+14 |
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.