Matrix: TKK/t2d_q4
Description: Nonlinear diffusion problem 100x100 bilinear mesh. R. Kouhia
(undirected graph drawing) |
Matrix properties | |
number of rows | 9,801 |
number of columns | 9,801 |
nonzeros | 87,025 |
structural full rank? | yes |
structural rank | 9,801 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | 69% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Kouhia |
editor | T. Davis |
date | 2008 |
kind | structural problem sequence |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 9801-by-1 |
A | cell 45-by-1 |
b | cell 45-by-1 |
Notes:
Matrix sequence from Reijo Kouhia, Structural Mechanics, Helsinki University of Technology. http://users.tkk.fi/~kouhia/sparse.html
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 310,926 |
Cholesky flop count | 2.2e+07 |
nnz(L+U), no partial pivoting, with AMD | 612,051 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 506,007 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 954,787 |
SVD-based statistics: | |
norm(A) | 4.35807 |
min(svd(A)) | 0.00197329 |
cond(A) | 2208.53 |
rank(A) | 9,801 |
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.