Matrix: Chen/pkustk07
Description: PKU SYMMETRIC STIFFNESS, 10*10*10 MESH (21 NODES ELEMENTS)
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,860 |
number of columns | 16,860 |
nonzeros | 2,418,804 |
structural full rank? | yes |
structural rank | 16,860 |
# 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 | P. Chen |
editor | T. Davis |
date | 2002 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 9,848,031 |
Cholesky flop count | 1.1e+10 |
nnz(L+U), no partial pivoting, with AMD | 19,679,202 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 16,994,709 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 43,803,294 |
SVD-based statistics: | |
norm(A) | 178.748 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 4,834 |
sprank(A)-rank(A) | 12,026 |
null space dimension | 12,026 |
full numerical rank? | no |
singular value gap | 6.92143e+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.