Matrix: Graham/graham1
Description: Galerkin FE disc. of Nav.Stokes 2phase fluid flow. D Graham, U Illinois
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 9,035 |
number of columns | 9,035 |
nonzeros | 335,472 |
structural full rank? | yes |
structural rank | 9,035 |
# of blocks from dmperm | 478 |
# strongly connected comp. | 474 |
explicit zero entries | 32 |
nonzero pattern symmetry | 72% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Graham |
editor | T. Davis |
date | 1998 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 602,647 |
Cholesky flop count | 7.0e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,196,259 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,689,616 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,071,066 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 32 explicit zero entries.
SVD-based statistics: | |
norm(A) | 82013.1 |
min(svd(A)) | 6.74722e-10 |
cond(A) | 1.21551e+14 |
rank(A) | 8,924 |
sprank(A)-rank(A) | 111 |
null space dimension | 111 |
full numerical rank? | no |
singular value gap | 1.01525 |
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.