Matrix: Hollinger/jan99jac040
Description: Jacobian from Bank of Canada 'jan99' model, oldstack 040
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 13,694 |
number of columns | 13,694 |
nonzeros | 72,734 |
structural full rank? | yes |
structural rank | 13,694 |
# of blocks from dmperm | 1,934 |
# strongly connected comp. | 1,914 |
explicit zero entries | 10,108 |
nonzero pattern symmetry | 0% |
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 |
Additional fields | size and type |
b | full 13694-by-1 |
x | full 13694-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 574,758 |
Cholesky flop count | 1.7e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,135,822 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 681,089 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,712,691 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10108 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.44051e+06 |
min(svd(A)) | 1.92859e-08 |
cond(A) | 7.46927e+13 |
rank(A) | 13,044 |
sprank(A)-rank(A) | 650 |
null space dimension | 650 |
full numerical rank? | no |
singular value gap | 1.00627 |
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.