Matrix: HB/jgl009
Description: U JOHN G. LEWIS P4 COUNTEREXAMPLE WHICH REQUIRES FILL IN SPIKES
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 9 |
number of columns | 9 |
nonzeros | 50 |
structural full rank? | yes |
structural rank | 9 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 48% |
numeric value symmetry | 48% |
type | binary |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Lewis |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1983 |
kind | counter-example problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 42 |
Cholesky flop count | 2.4e+02 |
nnz(L+U), no partial pivoting, with AMD | 75 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 44 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 45 |
SVD-based statistics: | |
norm(A) | 6.10129 |
min(svd(A)) | 4.86173e-63 |
cond(A) | 1.25496e+63 |
rank(A) | 5 |
sprank(A)-rank(A) | 4 |
null space dimension | 4 |
full numerical rank? | no |
singular value gap | 6.02749e+15 |
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.