Matrix: HB/gemat1
Description: UNSUMMETRIC MATRIX FROM G.E. OPF PROGRAM. WESTERN UTILITY SYSTEM.
(bipartite graph drawing) |
Matrix properties | |
number of rows | 4,929 |
number of columns | 10,595 |
nonzeros | 46,591 |
structural full rank? | yes |
structural rank | 4,929 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 778 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | R. Burchett |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1984 |
kind | power network problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,307,750 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 99,257 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 778 explicit zero entries.
SVD-based statistics: | |
norm(A) | 23446.1 |
min(svd(A)) | 0.000199431 |
cond(A) | 1.17565e+08 |
rank(A) | 4,929 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.