Matrix: Hollinger/mark3jac040
Description: Jacobian from MULTIMOD Mark3, oldstack 040
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 18,289 |
number of columns | 18,289 |
nonzeros | 106,803 |
structural full rank? | yes |
structural rank | 18,289 |
# of blocks from dmperm | 641 |
# strongly connected comp. | 641 |
explicit zero entries | 6,632 |
nonzero pattern symmetry | 7% |
numeric value symmetry | 1% |
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 | 2,834,641 |
Cholesky flop count | 1.8e+09 |
nnz(L+U), no partial pivoting, with AMD | 5,650,993 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,913,346 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,558,876 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6632 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.27818e+07 |
min(svd(A)) | 1.8822e-07 |
cond(A) | 6.79086e+13 |
rank(A) | 17,532 |
sprank(A)-rank(A) | 757 |
null space dimension | 757 |
full numerical rank? | no |
singular value gap | 1.0028 |
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.