Matrix: GHS_psdef/opt1
Description: Matrix Representation of OPT1, part of condeep cylinder
(undirected graph drawing) |
Matrix properties | |
number of rows | 15,449 |
number of columns | 15,449 |
nonzeros | 1,930,655 |
structural full rank? | yes |
structural rank | 15,449 |
# 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 | 5,307,011 |
Cholesky flop count | 3.1e+09 |
nnz(L+U), no partial pivoting, with AMD | 10,598,573 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,605,229 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 18,158,849 |
SVD-based statistics: | |
norm(A) | 161.316 |
min(svd(A)) | 2.19333e-98 |
cond(A) | 7.35484e+99 |
rank(A) | 3,442 |
sprank(A)-rank(A) | 12,007 |
null space dimension | 12,007 |
full numerical rank? | no |
singular value gap | 1.95167e+10 |
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.