Matrix: HB/gent113
Description: UNSYMMETRIC PATTERN SUPPLIED BY MORVEN GENTLEMAN, SUMMER 1973
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 113 |
number of columns | 113 |
nonzeros | 655 |
structural full rank? | yes |
structural rank | 113 |
# of blocks from dmperm | 18 |
# strongly connected comp. | 18 |
explicit zero entries | 0 |
nonzero pattern symmetry | 6% |
numeric value symmetry | 6% |
type | binary |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | W. Gentleman |
editor | A. Curtis, I. Duff, J. Reid |
date | 1973 |
kind | statistical/mathematical problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,003 |
Cholesky flop count | 1.2e+04 |
nnz(L+U), no partial pivoting, with AMD | 1,893 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 519 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,433 |
SVD-based statistics: | |
norm(A) | 11.3192 |
min(svd(A)) | 1.9093e-17 |
cond(A) | 5.92844e+17 |
rank(A) | 107 |
sprank(A)-rank(A) | 6 |
null space dimension | 6 |
full numerical rank? | no |
singular value gap | 7.16325e+13 |
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.