Matrix: Schenk_AFE/af_shell8
Description: Olaf Schenk, Univ. Basel: AutoForm Eng. GmbH, Zurich. sheet metal forming. positive definite
(undirected graph drawing) |
Matrix properties | |
number of rows | 504,855 |
number of columns | 504,855 |
nonzeros | 17,579,155 |
structural full rank? | yes |
structural rank | 504,855 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 9,720 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | AutoForm Eng. |
editor | O. Schenk |
date | 2003 |
kind | subsequent structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 504855-by-1 |
Notes:
next: Schenk_AFE/af_shell9 first: Schenk_AFE/af_shell1
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 103,109,384 |
Cholesky flop count | 6.8e+10 |
nnz(L+U), no partial pivoting, with AMD | 205,713,913 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 211,044,595 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 411,101,115 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 9720 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.