Matrix: HB/cegb3306
Description: FINITE ELEMENT FRAMEWORK PROBLEM, ESSENTIALLY IN TWO DIMENSIONS
(undirected graph drawing) |
Matrix properties | |
number of rows | 3,306 |
number of columns | 3,306 |
nonzeros | 74,916 |
structural full rank? | no |
structural rank | 3,222 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 85 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Donovan |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1980 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 67,989 |
Cholesky flop count | 2.0e+06 |
nnz(L+U), no partial pivoting, with AMD | 132,672 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 247,881 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 489,657 |
SVD-based statistics: | |
norm(A) | 36.0403 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 537 |
sprank(A)-rank(A) | 2,685 |
null space dimension | 2,769 |
full numerical rank? | no |
singular value gap | 3.54335e+11 |
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.