Matrix: Andrianov/net75
Description: net75 matrix from Alexander Andrianov, SAS Institute Inc.
(undirected graph drawing) |
Matrix properties | |
number of rows | 23,120 |
number of columns | 23,120 |
nonzeros | 1,489,200 |
structural full rank? | yes |
structural rank | 23,120 |
# 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 | 21,359,951 |
Cholesky flop count | 5.6e+10 |
nnz(L+U), no partial pivoting, with AMD | 42,696,782 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 65,795,462 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 116,259,320 |
SVD-based statistics: | |
norm(A) | 108.913 |
min(svd(A)) | 3.51136e-250 |
cond(A) | 3.10174e+251 |
rank(A) | 21,008 |
sprank(A)-rank(A) | 2,112 |
null space dimension | 2,112 |
full numerical rank? | no |
singular value gap | 7.04312e+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.