Matrix: DRIVCAV/cavity03
Description: Driven Cavity 5 x 5, Reynolds number: 400
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 317 |
number of columns | 317 |
nonzeros | 7,311 |
structural full rank? | yes |
structural rank | 317 |
# of blocks from dmperm | 82 |
# strongly connected comp. | 82 |
explicit zero entries | 16 |
nonzero pattern symmetry | 80% |
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 317-by-1 |
x | full 317-by-1 |
Notes:
next: DRIVCAV/cavity04 first: DRIVCAV/cavity01 pattern is the same as DRIVCAV/cavity01
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 6,120 |
Cholesky flop count | 1.3e+05 |
nnz(L+U), no partial pivoting, with AMD | 11,923 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,413 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 16,042 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 16 explicit zero entries.
SVD-based statistics: | |
norm(A) | 47.1332 |
min(svd(A)) | 8.05781e-05 |
cond(A) | 584938 |
rank(A) | 317 |
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.