Matrix: DNVS/thread
Description: DNV-Ex 7 : Threaded connector/contact problem-1999-01-17
(undirected graph drawing) |
Matrix properties | |
number of rows | 29,736 |
number of columns | 29,736 |
nonzeros | 4,444,880 |
structural full rank? | yes |
structural rank | 29,736 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 25,168 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | C. Damhaug |
editor | J. Koster |
date | 1999 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 28,383,936 |
Cholesky flop count | 5.0e+10 |
nnz(L+U), no partial pivoting, with AMD | 56,738,136 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 71,556,047 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 146,878,900 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 25168 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.51126e+19 |
min(svd(A)) | 5.89111e+08 |
cond(A) | 2.56532e+10 |
rank(A) | 29,736 |
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.