Matrix: Cote/mplate
Description: Vibroacoustic problem (plate-air-poroelastic-air-plate system) A. Cote
(undirected graph drawing) |
Matrix properties | |
number of rows | 5,962 |
number of columns | 5,962 |
nonzeros | 142,190 |
structural full rank? | yes |
structural rank | 5,962 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 5% |
type | complex |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Cote |
editor | T. Davis |
date | 1997 |
kind | acoustics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,017,574 |
Cholesky flop count | 1.3e+09 |
nnz(L+U), no partial pivoting, with AMD | 4,029,186 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,739,174 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 4,640,941 |
SVD-based statistics: | |
norm(A) | 1.04508e+06 |
min(svd(A)) | 3.11355e-11 |
cond(A) | 3.35654e+16 |
rank(A) | 4,103 |
sprank(A)-rank(A) | 1,859 |
null space dimension | 1,859 |
full numerical rank? | no |
singular value gap | 1.24449e+06 |
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.