Matrix: Oberwolfach/LFAT5
Description: Oberwolfach: linear 1D beam
(undirected graph drawing) |
Matrix properties | |
number of rows | 14 |
number of columns | 14 |
nonzeros | 46 |
structural full rank? | yes |
structural rank | 14 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 3 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | J. Lienemann, A. Greiner, J. Korvink |
editor | E. Rudnyi |
date | 2004 |
kind | model reduction problem |
2D/3D problem? | yes |
Additional fields | size and type |
M | sparse 14-by-14 |
E | sparse 14-by-14 |
B | sparse 14-by-1 |
C | sparse 1-by-14 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach K matrix
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 33 |
Cholesky flop count | 9.1e+01 |
nnz(L+U), no partial pivoting, with AMD | 52 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 33 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 43 |
SVD-based statistics: | |
norm(A) | 2.14522e+07 |
min(svd(A)) | 0.149919 |
cond(A) | 1.43092e+08 |
rank(A) | 14 |
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.