Matrix: HB/cegb3024
Description: FINITE ELEMENT PROBLEM. 2-DIMENSIONAL REACTOR CORE SECTION
(undirected graph drawing) |
Matrix properties | |
number of rows | 3,024 |
number of columns | 3,024 |
nonzeros | 79,848 |
structural full rank? | no |
structural rank | 2,996 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 29 |
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 | 115,242 |
Cholesky flop count | 5.7e+06 |
nnz(L+U), no partial pivoting, with AMD | 227,460 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 167,244 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 431,610 |
SVD-based statistics: | |
norm(A) | 31.6757 |
min(svd(A)) | 1.47521e-98 |
cond(A) | 2.14721e+99 |
rank(A) | 1,411 |
sprank(A)-rank(A) | 1,585 |
null space dimension | 1,613 |
full numerical rank? | no |
singular value gap | 6.11575e+10 |
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.