Matrix: Cunningham/k3plates
Description: FE stiffness matrix, 3 plates meeting at a line. A. Cunningham
(undirected graph drawing) |
Matrix properties | |
number of rows | 11,107 |
number of columns | 11,107 |
nonzeros | 378,927 |
structural full rank? | yes |
structural rank | 11,107 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 100% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Cunningham |
editor | T. Davis |
date | 2002 |
kind | acoustics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 774,049 |
Cholesky flop count | 8.2e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,536,991 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,152,498 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,342,542 |
SVD-based statistics: | |
norm(A) | 1.99511e+10 |
min(svd(A)) | 1.32696e-08 |
cond(A) | 1.50352e+18 |
rank(A) | 11,101 |
sprank(A)-rank(A) | 6 |
null space dimension | 6 |
full numerical rank? | no |
singular value gap | 765.134 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (A)) ; |
status: | ok |
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.