Matrix: Bindel/ted_AB_unscaled
Description: FEM, coupled linear thermoeslasticity eqns on a bar. D Bindel, UC Berkeley
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 10,605 |
number of columns | 10,605 |
nonzeros | 522,387 |
structural full rank? | yes |
structural rank | 10,605 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 64% |
numeric value symmetry | 0% |
type | complex |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Bindel |
editor | T. Davis |
date | 2006 |
kind | thermal problem |
2D/3D problem? | yes |
Additional fields | size and type |
w0 | full 1-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 510,205 |
Cholesky flop count | 2.6e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,009,805 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 588,841 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,028,390 |
SVD-based statistics: | |
norm(A) | 2.22515e+12 |
min(svd(A)) | 2.7028e-09 |
cond(A) | 8.23275e+20 |
rank(A) | 6,363 |
sprank(A)-rank(A) | 4,242 |
null space dimension | 4,242 |
full numerical rank? | no |
singular value gap | 27.3568 |
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.