Matrix: Brethour/coater2
Description: Tail end of a converging slot coater. J. Brethour, CEMS, U. Minn
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 9,540 |
number of columns | 9,540 |
nonzeros | 207,308 |
structural full rank? | no |
structural rank | 9,434 |
# of blocks from dmperm | 207 |
# strongly connected comp. | 382 |
explicit zero entries | 0 |
nonzero pattern symmetry | 59% |
numeric value symmetry | 13% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Brethour |
editor | T. Davis |
date | 1997 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 689,125 |
Cholesky flop count | 8.2e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,368,710 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,286,324 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,780,057 |
SVD-based statistics: | |
norm(A) | 1216.52 |
min(svd(A)) | 7.81585e-34 |
cond(A) | 1.55648e+36 |
rank(A) | 9,426 |
sprank(A)-rank(A) | 8 |
null space dimension | 114 |
full numerical rank? | no |
singular value gap | 2.31108 |
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.