Matrix: FEMLAB/ns3Da
Description: Comsol, Inc. www.femlab.com : 3D Navier Stokes
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 20,414 |
number of columns | 20,414 |
nonzeros | 1,679,599 |
structural full rank? | yes |
structural rank | 20,414 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 100% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | COMSOL |
editor | T. Davis |
date | 2003 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 20414-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 8,910,507 |
Cholesky flop count | 7.4e+09 |
nnz(L+U), no partial pivoting, with AMD | 17,800,600 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 15,387,648 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 34,803,686 |
SVD-based statistics: | |
norm(A) | 0.633759 |
min(svd(A)) | 0.000896202 |
cond(A) | 707.161 |
rank(A) | 20,414 |
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 (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.