Matrix: POLYFLOW/invextr1_new
Description: POLYFLOW flat die (new version to avoid underflow)
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 30,412 |
number of columns | 30,412 |
nonzeros | 1,793,881 |
structural full rank? | yes |
structural rank | 30,412 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 97% |
numeric value symmetry | 72% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Marchal |
editor | J. Koster |
date | 2005 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 30412-by-1 |
Notes:
from Parasol, http://www.parallab.uib.no/projects/parasol/data
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 14,654,006 |
Cholesky flop count | 1.7e+10 |
nnz(L+U), no partial pivoting, with AMD | 29,277,600 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 28,409,578 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 55,548,781 |
SVD-based statistics: | |
norm(A) | 3.03295e+08 |
min(svd(A)) | 4.47254e-10 |
cond(A) | 6.78126e+17 |
rank(A) | 27,502 |
sprank(A)-rank(A) | 2,910 |
null space dimension | 2,910 |
full numerical rank? | no |
singular value gap | 1.05739 |
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.