Matrix: HB/sherman5
Description: U FULLY IMPLICIT BLACK OIL SIMULATOR 16 BY 23 BY 3 GRID, THREE UNK
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 3,312 |
number of columns | 3,312 |
nonzeros | 20,793 |
structural full rank? | yes |
structural rank | 3,312 |
# of blocks from dmperm | 1,675 |
# strongly connected comp. | 1,675 |
explicit zero entries | 0 |
nonzero pattern symmetry | 74% |
numeric value symmetry | 15% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Sherman |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1984 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 3312-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 78,567 |
Cholesky flop count | 6.1e+06 |
nnz(L+U), no partial pivoting, with AMD | 153,822 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 94,649 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 189,297 |
SVD-based statistics: | |
norm(A) | 4547.51 |
min(svd(A)) | 0.0241965 |
cond(A) | 187941 |
rank(A) | 3,312 |
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.