Matrix: HVDC/hvdc1
Description: Power simulation matrix, Alex Wang, Manitoba HVDC, Canada
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 24,842 |
number of columns | 24,842 |
nonzeros | 158,426 |
structural full rank? | yes |
structural rank | 24,842 |
# of blocks from dmperm | 31 |
# strongly connected comp. | 7 |
explicit zero entries | 1,555 |
nonzero pattern symmetry | 98% |
numeric value symmetry | 10% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Wang |
editor | T. Davis |
date | 2007 |
kind | power network problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 24842-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 124,423 |
Cholesky flop count | 8.6e+05 |
nnz(L+U), no partial pivoting, with AMD | 224,004 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 208,510 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 427,644 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1555 explicit zero entries.
SVD-based statistics: | |
norm(A) | 364646 |
min(svd(A)) | 0.00750594 |
cond(A) | 4.85809e+07 |
rank(A) | 24,842 |
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.