Matrix: Shen/shermanACb
Description: From Kai Shen, UCSB (now at kshen@cs.rochester.edu)
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 18,510 |
number of columns | 18,510 |
nonzeros | 145,149 |
structural full rank? | yes |
structural rank | 18,510 |
# of blocks from dmperm | 851 |
# strongly connected comp. | 851 |
explicit zero entries | 0 |
nonzero pattern symmetry | 15% |
numeric value symmetry | 3% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | K. Shen |
editor | T. Davis |
date | 2003 |
kind | 2D/3D problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 411,269 |
Cholesky flop count | 4.2e+07 |
nnz(L+U), no partial pivoting, with AMD | 804,028 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 31,277,009 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 112,482,360 |
SVD-based statistics: | |
norm(A) | 1100 |
min(svd(A)) | 6.12696e-05 |
cond(A) | 1.79535e+07 |
rank(A) | 18,510 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.