Matrix: HB/arc130
Description: UNSYMMETRIC MATRIX FROM LASER PROBLEM. A.R.CURTIS, OCT 1974
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 130 |
number of columns | 130 |
nonzeros | 1,037 |
structural full rank? | yes |
structural rank | 130 |
# of blocks from dmperm | 55 |
# strongly connected comp. | 55 |
explicit zero entries | 245 |
nonzero pattern symmetry | 76% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | A. Curtis |
editor | A. Curtis, I. Duff, J. Reid |
date | 1974 |
kind | materials problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 841 |
Cholesky flop count | 6.1e+03 |
nnz(L+U), no partial pivoting, with AMD | 1,552 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 982 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,935 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 245 explicit zero entries.
SVD-based statistics: | |
norm(A) | 239735 |
min(svd(A)) | 3.9598e-06 |
cond(A) | 6.05421e+10 |
rank(A) | 130 |
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.