Matrix: HB/steam2
Description: UNSYMMETRIC - 3D STEAM MODEL OF OIL RES. - 5 X 5 X 6 - 4 DOF MAY 1983
(undirected graph drawing) |
Matrix properties | |
number of rows | 600 |
number of columns | 600 |
nonzeros | 5,660 |
structural full rank? | yes |
structural rank | 600 |
# of blocks from dmperm | 151 |
# strongly connected comp. | 151 |
explicit zero entries | 8,100 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 19% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Grimes |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1983 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 21,336 |
Cholesky flop count | 1.2e+06 |
nnz(L+U), no partial pivoting, with AMD | 42,072 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 23,112 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 43,622 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 8100 explicit zero entries.
SVD-based statistics: | |
norm(A) | 4.6856e+09 |
min(svd(A)) | 1238.55 |
cond(A) | 3.78313e+06 |
rank(A) | 600 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.