Matrix: Botonakis/FEM_3D_thermal1
Description: FEM 3D nonlinear thermal problem, 8-node bricks as volume elements
(undirected graph drawing) |
Matrix properties | |
number of rows | 17,880 |
number of columns | 17,880 |
nonzeros | 430,740 |
structural full rank? | yes |
structural rank | 17,880 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 95% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | I. Botonakis |
editor | T. Davis |
date | 2007 |
kind | thermal problem |
2D/3D problem? | yes |
Notes:
This is a very small test problem.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 4,014,042 |
Cholesky flop count | 1.7e+09 |
nnz(L+U), no partial pivoting, with AMD | 8,010,204 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,317,265 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 11,890,191 |
SVD-based statistics: | |
norm(A) | 5.34952 |
min(svd(A)) | 0.00699774 |
cond(A) | 764.464 |
rank(A) | 17,880 |
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 (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.