Matrix: HB/bcspwr09
Description: SYMMETRIC STRUCTURE REPRESENTATION OF WESTERN US POWER NETWORK
(undirected graph drawing) |
Matrix properties | |
number of rows | 1,723 |
number of columns | 1,723 |
nonzeros | 6,511 |
structural full rank? | yes |
structural rank | 1,723 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | B. Dembart, J. Lewis |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1981 |
kind | power network problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 6,216 |
Cholesky flop count | 2.9e+04 |
nnz(L+U), no partial pivoting, with AMD | 10,709 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 10,041 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 20,137 |
SVD-based statistics: | |
norm(A) | 5.97127 |
min(svd(A)) | 1.36759e-16 |
cond(A) | 4.36627e+16 |
rank(A) | 1,712 |
sprank(A)-rank(A) | 11 |
null space dimension | 11 |
full numerical rank? | no |
singular value gap | 1.7812e+12 |
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.