Matrix: JGD_Homology/ch7-8-b3
Description: Simplicial complexes from Homology from Volkmar Welker.
(bipartite graph drawing) |
Matrix properties | |
number of rows | 58,800 |
number of columns | 11,760 |
nonzeros | 235,200 |
structural full rank? | yes |
structural rank | 11,760 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | integer |
structure | rectangular |
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/ch7-8.b3.58800x11760.sms
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 445,393,872 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 49,974,878 |
SVD-based statistics: | |
norm(A) | 5.91608 |
min(svd(A)) | 1.55565e-15 |
cond(A) | 3.80297e+15 |
rank(A) | 10,639 |
sprank(A)-rank(A) | 1,121 |
null space dimension | 1,121 |
full numerical rank? | no |
singular value gap | 1.66458e+14 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.