Matrix: GHS_indef/c-62ghs
Description: Gould,Hu,Scott: nearly same pattern as Schenk_IBMNA/c-62, diff. values
(undirected graph drawing) |
Matrix properties | |
number of rows | 41,731 |
number of columns | 41,731 |
nonzeros | 559,339 |
structural full rank? | yes |
structural rank | 41,731 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 3 |
explicit zero entries | 4 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | IBM |
editor | O. Schenk |
date | 2004 |
kind | subsequent optimization problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 41731-by-1 |
Notes:
next: - first: Schenk_IBMNA/c-62 A version of this matrix was first obtained from Olaf Schenk in October 2003. That version appears in this collection as Schenk_IBMNA/c-62. In August 2004, a new version appeared in the GHS collection, under the same name, and was added here as GHS_indef/c-62ghs. The c-62ghs matrix is the same as the version on Schenk's web site as of Nov 2006, except that the right-hand-side was missing in the version in the UF Sparse Matrix Collection (now included). The two matrices c-62 and c-62ghs are very similar, but not identical.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 9,819,875 |
Cholesky flop count | 1.7e+10 |
nnz(L+U), no partial pivoting, with AMD | 19,598,019 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 125,385,616 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 173,361,037 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4 explicit zero entries.
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.