Matrix: Bai/dw8192
Description: SQUARE DIELECTRIC WAVEGUIDE, H. DONG
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 8,192 |
number of columns | 8,192 |
nonzeros | 41,746 |
structural full rank? | yes |
structural rank | 8,192 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 96% |
numeric value symmetry | 92% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | H. Dong |
editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
date | 1993 |
kind | electromagnetics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 212,151 |
Cholesky flop count | 1.9e+07 |
nnz(L+U), no partial pivoting, with AMD | 416,110 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 378,664 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 688,903 |
SVD-based statistics: | |
norm(A) | 109.828 |
min(svd(A)) | 2.87914e-05 |
cond(A) | 3.8146e+06 |
rank(A) | 8,192 |
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.