Matrix: HB/zenios
Description: S AIR-TRAFFIC CONTROL MODEL BY STAVROS A. ZENIOS
(undirected graph drawing) |
Matrix properties | |
number of rows | 2,873 |
number of columns | 2,873 |
nonzeros | 1,314 |
structural full rank? | no |
structural rank | 266 |
# of blocks from dmperm | 84 |
# strongly connected comp. | 2,650 |
explicit zero entries | 25,877 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | S. Zenios |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1985 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 3,546 |
Cholesky flop count | 7.3e+03 |
nnz(L+U), no partial pivoting, with AMD | 4,219 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,507 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,862 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 25877 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3.33795 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 265 |
sprank(A)-rank(A) | 1 |
null space dimension | 2,608 |
full numerical rank? | no |
singular value gap | 5827.89 |
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.