Matrix: Grund/poli4
Description: Economic problem from Friedrich Grund, Berlin
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 33,833 |
number of columns | 33,833 |
nonzeros | 73,249 |
structural full rank? | yes |
structural rank | 33,833 |
# of blocks from dmperm | 33,628 |
# strongly connected comp. | 33,628 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | F. Grund |
editor | T. Davis |
date | 2010 |
kind | economic problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 117,954 |
Cholesky flop count | 6.3e+06 |
nnz(L+U), no partial pivoting, with AMD | 202,075 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 231,909 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,666,564 |
SVD-based statistics: | |
norm(A) | 15.6251 |
min(svd(A)) | 0.0208286 |
cond(A) | 750.176 |
rank(A) | 33,833 |
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.