Matrix: DRIVCAV/cavity09
Description: Driven Cavity 10 x 10, Reynolds number: 800
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 1,182 |
number of columns | 1,182 |
nonzeros | 32,702 |
structural full rank? | yes |
structural rank | 1,182 |
# of blocks from dmperm | 162 |
# strongly connected comp. | 162 |
explicit zero entries | 45 |
nonzero pattern symmetry | 90% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Chapman |
editor | A. Baggag, Y. Saad |
date | 1996 |
kind | subsequent computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 1182-by-1 |
x | full 1182-by-1 |
Notes:
next: - first: DRIVCAV/cavity05 pattern is the same as DRIVCAV/cavity05
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 33,060 |
Cholesky flop count | 1.2e+06 |
nnz(L+U), no partial pivoting, with AMD | 64,938 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 42,951 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 124,143 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 45 explicit zero entries.
SVD-based statistics: | |
norm(A) | 46.6045 |
min(svd(A)) | 5.79913e-06 |
cond(A) | 8.03647e+06 |
rank(A) | 1,182 |
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.