Matrix: Grund/meg4
Description: Unsymmetric Matrix meg4, 4MB RAM simulation, F. Grund, Oct 1990.
(undirected graph drawing) |
Matrix properties | |
number of rows | 5,860 |
number of columns | 5,860 |
nonzeros | 25,258 |
structural full rank? | yes |
structural rank | 5,860 |
# of blocks from dmperm | 1,412 |
# strongly connected comp. | 1,318 |
explicit zero entries | 21,584 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | F. Grund |
editor | F. Grund |
date | 1997 |
kind | circuit simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 21,670 |
Cholesky flop count | 1.2e+05 |
nnz(L+U), no partial pivoting, with AMD | 37,480 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,204,046 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,114,787 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 21584 explicit zero entries.
SVD-based statistics: | |
norm(A) | 212573 |
min(svd(A)) | 5.07099e-06 |
cond(A) | 4.19194e+10 |
rank(A) | 5,860 |
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.