Matrix: HB/illc1033
Description: UNSYMMETRIC LEAST-SQUARES PROBLEM. SAUNDERS 1979.
(bipartite graph drawing) |
Matrix properties | |
number of rows | 1,033 |
number of columns | 320 |
nonzeros | 4,719 |
structural full rank? | yes |
structural rank | 320 |
# of blocks from dmperm | 15 |
# strongly connected comp. | 1 |
explicit zero entries | 13 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | M. Saunders |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1979 |
kind | least squares problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 1033-by-1 |
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 30,791 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,988 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.14435 |
min(svd(A)) | 0.000113529 |
cond(A) | 18888.1 |
rank(A) | 320 |
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.