Matrix: MKS/fp
Description: 2-D Fokker Planck eqn, electron dyn. in external field. Dan Smith, MKS Inst.
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 7,548 |
number of columns | 7,548 |
nonzeros | 834,222 |
structural full rank? | yes |
structural rank | 7,548 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 14,331 |
nonzero pattern symmetry | 76% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Smith |
editor | T. Davis |
date | 2006 |
kind | electromagnetics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,441,448 |
Cholesky flop count | 4.6e+08 |
nnz(L+U), no partial pivoting, with AMD | 2,875,348 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,567,452 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,715,099 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 14331 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.8329e+09 |
min(svd(A)) | 0.000590518 |
cond(A) | 4.79731e+12 |
rank(A) | 7,547 |
sprank(A)-rank(A) | 1 |
null space dimension | 1 |
full numerical rank? | no |
singular value gap | 6.66485 |
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.