Matrix: Schenk_AFE/af_shell3
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 | 17,562,051 |
structural full rank? | yes |
structural rank | 504,855 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 26,824 |
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_shell4 first: Schenk_AFE/af_shell1
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 108,990,904 |
Cholesky flop count | 8.0e+10 |
nnz(L+U), no partial pivoting, with AMD | 217,476,953 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 201,837,552 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 392,881,990 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 26824 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.