Matrix: Rothberg/cfd1
Description: CFD, symmetric pressure matrix, from Ed Rothberg, Silicon Graphics, Inc.
(undirected graph drawing) |
Matrix properties | |
number of rows | 70,656 |
number of columns | 70,656 |
nonzeros | 1,825,580 |
structural full rank? | yes |
structural rank | 70,656 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 2,784 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | E. Rothberg |
editor | T. Davis |
date | 1997 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 35,877,440 |
Cholesky flop count | 4.1e+10 |
nnz(L+U), no partial pivoting, with AMD | 71,684,224 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 57,045,725 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 103,569,465 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2784 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.