Matrix: Luong/photogrammetry
Description: Photogrammetry problem, B. Luong, FOGALE nanotech, France
(bipartite graph drawing) |
Matrix properties | |
number of rows | 1,388 |
number of columns | 390 |
nonzeros | 11,816 |
structural full rank? | yes |
structural rank | 390 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | B. Luong |
editor | T. Davis |
date | 2008 |
kind | computer graphics/vision problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 1388-by-1 |
Notes:
Photogrammetry problem from Bruno Luong, FOGALE nanotech, France. The problem of interest is: [U S V]=svd(full(A),0); s=diag(S); The spectrum has two parts: - the singular values s(1) to s(end-7) are 1.7486e-004 to 3.4655e-007 (ratio 504.57). - the singular values s(end-6) to s(end) is smaller than 2.9614e-012 (ratio > 5.9e7). So in this problem, the following are considered: K = span is the kernel of A, and L = span = orthogonal(K) is isomorph to Im(A).
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 212,121 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 33,931 |
SVD-based statistics: | |
norm(A) | 0.000174861 |
min(svd(A)) | 4.01803e-13 |
cond(A) | 4.35191e+08 |
rank(A) | 390 |
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.