Matrix: ATandT/onetone1
Description: AT&T,harmonic balance method, one-tone. Approx Jacobian for SSOR precon
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 36,057 |
number of columns | 36,057 |
nonzeros | 335,552 |
structural full rank? | yes |
structural rank | 36,057 |
# of blocks from dmperm | 3,843 |
# strongly connected comp. | 203 |
explicit zero entries | 5,536 |
nonzero pattern symmetry | 7% |
numeric value symmetry | 4% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Melville, D. Long |
editor | T. Davis |
date | 2001 |
kind | frequency-domain circuit simulation problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 9,939,829 |
Cholesky flop count | 7.3e+09 |
nnz(L+U), no partial pivoting, with AMD | 19,843,601 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,291,021 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 4,272,298 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5536 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3924.01 |
min(svd(A)) | 0.000417944 |
cond(A) | 9.38885e+06 |
rank(A) | 36,057 |
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.