Matrix: Schenk_IBMNA/c-21
Description: IBM TJ Watson, non-linear optimization
(undirected graph drawing) |
Matrix properties | |
number of rows | 3,509 |
number of columns | 3,509 |
nonzeros | 32,145 |
structural full rank? | yes |
structural rank | 3,509 |
# of blocks from dmperm | 7 |
# strongly connected comp. | 7 |
explicit zero entries | 12 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | IBM |
editor | O. Schenk |
date | 2006 |
kind | optimization problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 3509-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 34,682 |
Cholesky flop count | 9.1e+05 |
nnz(L+U), no partial pivoting, with AMD | 65,855 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 232,524 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 463,868 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 explicit zero entries.
SVD-based statistics: | |
norm(A) | 5972.28 |
min(svd(A)) | 0.00181951 |
cond(A) | 3.28236e+06 |
rank(A) | 3,509 |
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.