Matrix: Hollinger/g7jac040
Description: Jacobian from CEPII's 'G7marmotte' OLG model, oldstack 040
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 11,790 |
number of columns | 11,790 |
nonzeros | 107,383 |
structural full rank? | yes |
structural rank | 11,790 |
# of blocks from dmperm | 597 |
# strongly connected comp. | 317 |
explicit zero entries | 7,288 |
nonzero pattern symmetry | 5% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | P. Hollinger |
editor | T. Davis |
date | 2001 |
kind | economic problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,749,473 |
Cholesky flop count | 1.1e+09 |
nnz(L+U), no partial pivoting, with AMD | 3,487,156 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,039,151 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,614,040 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7288 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3.73816e+07 |
min(svd(A)) | 2.61681e-10 |
cond(A) | 1.42852e+17 |
rank(A) | 8,838 |
sprank(A)-rank(A) | 2,952 |
null space dimension | 2,952 |
full numerical rank? | no |
singular value gap | 1.01622 |
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.