Matrix: DNVS/trdheim
Description: Matrix Representation of TRDHEIM, Mesh of the Trondheim Fjord
(undirected graph drawing) |
Matrix properties | |
number of rows | 22,098 |
number of columns | 22,098 |
nonzeros | 1,935,324 |
structural full rank? | yes |
structural rank | 22,098 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | C. Damhaug |
editor | N. Gould, Y. Hu, J. Scott |
date | 2004 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,708,287 |
Cholesky flop count | 1.6e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,394,476 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,074,375 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 21,764,103 |
SVD-based statistics: | |
norm(A) | 104.629 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 2,819 |
sprank(A)-rank(A) | 19,279 |
null space dimension | 19,279 |
full numerical rank? | no |
singular value gap | 4.9741e+11 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.