Matrix: ATandT/onetone2
Description: AT&T,harmonic balance method, one-tone. More typical for direct factor.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 36,057 |
number of columns | 36,057 |
nonzeros | 222,596 |
structural full rank? | yes |
structural rank | 36,057 |
# of blocks from dmperm | 3,843 |
# strongly connected comp. | 203 |
explicit zero entries | 5,032 |
nonzero pattern symmetry | 11% |
numeric value symmetry | 7% |
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 | 4,018,036 |
Cholesky flop count | 1.0e+09 |
nnz(L+U), no partial pivoting, with AMD | 8,000,015 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 488,470 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,065,910 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 5032 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3924.01 |
min(svd(A)) | 0.00124 |
cond(A) | 3.16452e+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.