Matrix: HB/steam3
Description: UNSYMMETRIC - 1D STEAM MODEL OF OIL RES. - 20 POINTS - 4 DOF MAY 1983
(undirected graph drawing) |
Matrix properties | |
number of rows | 80 |
number of columns | 80 |
nonzeros | 314 |
structural full rank? | yes |
structural rank | 80 |
# of blocks from dmperm | 21 |
# strongly connected comp. | 21 |
explicit zero entries | 614 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 32% |
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 | 236 |
Cholesky flop count | 7.4e+02 |
nnz(L+U), no partial pivoting, with AMD | 392 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 203 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 424 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 614 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.73857e+10 |
min(svd(A)) | 0.348153 |
cond(A) | 4.99369e+10 |
rank(A) | 80 |
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.