Matrix: Pothen/barth
Description: barth, with coordinates. From NASA, collected by Alex Pothen
(undirected graph drawing) |
Matrix properties | |
number of rows | 6,691 |
number of columns | 6,691 |
nonzeros | 46,187 |
structural full rank? | yes |
structural rank | 6,691 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | NASA |
editor | G. Kumfert, A. Pothen |
date | 2003 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
coord | full 6691-by-2 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 109,795 |
Cholesky flop count | 4.0e+06 |
nnz(L+U), no partial pivoting, with AMD | 212,899 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 221,114 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 421,525 |
SVD-based statistics: | |
norm(A) | 7.3183 |
min(svd(A)) | 0.000566646 |
cond(A) | 12915.1 |
rank(A) | 6,691 |
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.