Matrix: GHS_indef/c-71
Description: Schenk: IBM TJ Watson, Yorktown, nonlinear optimization
(undirected graph drawing) |
Matrix properties | |
number of rows | 76,638 |
number of columns | 76,638 |
nonzeros | 859,520 |
structural full rank? | yes |
structural rank | 76,638 |
# of blocks from dmperm | 18 |
# strongly connected comp. | 18 |
explicit zero entries | 34 |
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 | optimization problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 76638-by-1 |
Notes:
Revised Nov 2006; relative eps changes to A, right-hand-side added. Note that this matrix should have been placed in the Schenk_IBMNA/ directory when it was first added in August 2004, but moving it now would disrupt exising users of the collection.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 19,945,308 |
Cholesky flop count | 5.7e+10 |
nnz(L+U), no partial pivoting, with AMD | 39,813,978 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 321,864,432 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 426,224,761 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 34 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.