Matrix: Engwirda/airfoil_2d
Description: Unstructured 2D mesh (airfoil), from Darren Engwirda
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 14,214 |
number of columns | 14,214 |
nonzeros | 259,688 |
structural full rank? | yes |
structural rank | 14,214 |
# of blocks from dmperm | 638 |
# strongly connected comp. | 638 |
explicit zero entries | 0 |
nonzero pattern symmetry | 98% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Engwirda |
editor | T. Davis |
date | 2006 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
coord | full 14214-by-2 |
t | full 27748-by-3 |
Notes:
trimesh(t,coord(:,1),coord(:,2),A\ones(n,1))
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,188,344 |
Cholesky flop count | 1.8e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,362,474 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,623,733 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,133,402 |
SVD-based statistics: | |
norm(A) | 252672 |
min(svd(A)) | 0.141414 |
cond(A) | 1.78676e+06 |
rank(A) | 14,214 |
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.