Matrix: IBM_Austin/coupled
Description: IBM Austin, transient simulation, timing path. high coupling
(undirected graph drawing) |
Matrix properties | |
number of rows | 11,341 |
number of columns | 11,341 |
nonzeros | 97,193 |
structural full rank? | yes |
structural rank | 11,341 |
# of blocks from dmperm | 49 |
# strongly connected comp. | 1 |
explicit zero entries | 1,330 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 78% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | E. Acar |
editor | T. Davis |
date | 2004 |
kind | circuit simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 191,898 |
Cholesky flop count | 1.3e+07 |
nnz(L+U), no partial pivoting, with AMD | 372,455 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 15,410,571 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 28,059,977 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1330 explicit zero entries.
SVD-based statistics: | |
norm(A) | 201.519 |
min(svd(A)) | 0.00545253 |
cond(A) | 36958.8 |
rank(A) | 11,341 |
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.