Matrix: Hohn/sinc15
Description: M. Hohn, Univ Utah. Single-material crack problem, sinc basis log grid
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 11,532 |
number of columns | 11,532 |
nonzeros | 551,184 |
structural full rank? | yes |
structural rank | 11,532 |
# of blocks from dmperm | 653 |
# strongly connected comp. | 1 |
explicit zero entries | 17,342 |
nonzero pattern symmetry | 1% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | M. Hohn |
editor | T. Davis |
date | 2003 |
kind | materials problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 11532-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 8,658,431 |
Cholesky flop count | 1.8e+10 |
nnz(L+U), no partial pivoting, with AMD | 17,305,330 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 20,541,699 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 33,047,978 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17342 explicit zero entries.
SVD-based statistics: | |
norm(A) | 1.53473e+08 |
min(svd(A)) | 0.0020197 |
cond(A) | 7.59879e+10 |
rank(A) | 11,532 |
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: | SVD did not converge. |
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.