Matrix: Lourakis/bundle1
Description: Sparse bundle adjustment, 3D vision, M. Lourakis, Greece
(undirected graph drawing) |
Matrix properties | |
number of rows | 10,581 |
number of columns | 10,581 |
nonzeros | 770,811 |
structural full rank? | yes |
structural rank | 10,581 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 90 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | M. Lourakis |
editor | T. Davis |
date | 2006 |
kind | computer graphics/vision problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 460,630 |
Cholesky flop count | 3.9e+07 |
nnz(L+U), no partial pivoting, with AMD | 910,679 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,811,882 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 38,413,165 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 90 explicit zero entries.
SVD-based statistics: | |
norm(A) | 6.429e+12 |
min(svd(A)) | 6.40186e+09 |
cond(A) | 1004.24 |
rank(A) | 10,581 |
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.