Matrix: Pothen/sphere3
Description: sphere3, with coordinates. From NASA, collected by Alex Pothen
(undirected graph drawing) |
Matrix properties | |
number of rows | 258 |
number of columns | 258 |
nonzeros | 1,794 |
structural full rank? | yes |
structural rank | 258 |
# 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 | NASA |
editor | G. Kumfert, A. Pothen |
date | 2003 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
coord | full 258-by-3 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 4,467 |
Cholesky flop count | 1.1e+05 |
nnz(L+U), no partial pivoting, with AMD | 8,676 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 5,191 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 9,301 |
SVD-based statistics: | |
norm(A) | 6.97245 |
min(svd(A)) | 1.07444e-16 |
cond(A) | 6.48941e+16 |
rank(A) | 253 |
sprank(A)-rank(A) | 5 |
null space dimension | 5 |
full numerical rank? | no |
singular value gap | 8.44425e+13 |
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.