Matrix: Hollinger/jan99jac080
Description: Jacobian from Bank of Canada 'jan99' model, oldstack 080
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 27,534 |
number of columns | 27,534 |
nonzeros | 151,063 |
structural full rank? | yes |
structural rank | 27,534 |
# of blocks from dmperm | 3,614 |
# strongly connected comp. | 3,594 |
explicit zero entries | 20,459 |
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 27534-by-1 |
x | full 27534-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,441,347 |
Cholesky flop count | 5.3e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,855,160 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,667,372 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 4,407,516 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 20459 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.78037e+06 |
min(svd(A)) | 7.7155e-09 |
cond(A) | 2.30753e+14 |
rank(A) | 25,994 |
sprank(A)-rank(A) | 1,540 |
null space dimension | 1,540 |
full numerical rank? | no |
singular value gap | 1.01868 |
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.