Matrix: Andrianov/net25
Description: net25 matrix from Alexander Andrianov, SAS Institute Inc.
(undirected graph drawing) |
Matrix properties | |
number of rows | 9,520 |
number of columns | 9,520 |
nonzeros | 401,200 |
structural full rank? | yes |
structural rank | 9,520 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 2 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | A. Andrianov |
editor | T. Davis |
date | 2006 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,500,131 |
Cholesky flop count | 6.5e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,990,742 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 12,248,007 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 18,725,968 |
SVD-based statistics: | |
norm(A) | 70.4261 |
min(svd(A)) | 4.31323e-68 |
cond(A) | 1.63279e+69 |
rank(A) | 9,058 |
sprank(A)-rank(A) | 462 |
null space dimension | 462 |
full numerical rank? | no |
singular value gap | 2.69982e+13 |
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.