Matrix: Chen/pkustk08
Description: PKU SYMMETRIC STIFFNESS, 11*11*11 MESH (21 NODES ELEMENT)
(undirected graph drawing) |
Matrix properties | |
number of rows | 22,209 |
number of columns | 22,209 |
nonzeros | 3,226,671 |
structural full rank? | yes |
structural rank | 22,209 |
# 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 | 14,680,191 |
Cholesky flop count | 2.0e+10 |
nnz(L+U), no partial pivoting, with AMD | 29,338,173 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 28,946,745 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 73,091,064 |
SVD-based statistics: | |
norm(A) | 180.348 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 6,552 |
sprank(A)-rank(A) | 15,657 |
null space dimension | 15,657 |
full numerical rank? | no |
singular value gap | 2.65124e+10 |
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.