Matrix: Simon/raefsky6
Description: SLOSH TANK MODEL ARTHUR RAEFSKY, CENTRIC ENG.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 3,402 |
number of columns | 3,402 |
nonzeros | 130,371 |
structural full rank? | yes |
structural rank | 3,402 |
# of blocks from dmperm | 3,402 |
# strongly connected comp. | 3,402 |
explicit zero entries | 7,474 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Raefsky |
editor | H. Simon |
date | 1993 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 3402-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 665,212 |
Cholesky flop count | 1.8e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,327,022 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 406,211 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,030,839 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7474 explicit zero entries.
SVD-based statistics: | |
norm(A) | 3.97745e+14 |
min(svd(A)) | 0.0281444 |
cond(A) | 1.41323e+16 |
rank(A) | 2,586 |
sprank(A)-rank(A) | 816 |
null space dimension | 816 |
full numerical rank? | no |
singular value gap | 629.254 |
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.