Matrix: Bai/qh1484
Description: QUEBEC HYDRO POWER SYSTEM
(undirected graph drawing) |
Matrix properties | |
number of rows | 1,484 |
number of columns | 1,484 |
nonzeros | 6,110 |
structural full rank? | yes |
structural rank | 1,484 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 3 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 5% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Ndereyimana |
editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
date | 1994 |
kind | power network problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 5,919 |
Cholesky flop count | 2.6e+04 |
nnz(L+U), no partial pivoting, with AMD | 10,354 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,508 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 14,796 |
SVD-based statistics: | |
norm(A) | 1.25679e+16 |
min(svd(A)) | 0.0120326 |
cond(A) | 1.04449e+18 |
rank(A) | 708 |
sprank(A)-rank(A) | 776 |
null space dimension | 776 |
full numerical rank? | no |
singular value gap | 1.17732 |
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.