LPnetlib/lp_ken_11
Netlib LP problem ken_11: minimize c'*x, where Ax=b, lo<=x<=hi
| Name |
lp_ken_11 |
| Group |
LPnetlib |
| Matrix ID |
638 |
|
Num Rows
|
14,694 |
|
Num Cols
|
21,349 |
|
Nonzeros
|
49,058 |
|
Pattern Entries
|
49,058 |
|
Kind
|
Linear Programming Problem |
|
Symmetric
|
No |
|
Date
|
1991 |
|
Author
|
J. Kennington |
|
Editor
|
D. Gay |
| Structural Rank |
14,694 |
| Structural Rank Full |
true |
|
Num Dmperm Blocks
|
4,610 |
|
Strongly Connect Components
|
1 |
|
Num Explicit Zeros
|
0 |
|
Pattern Symmetry
|
0% |
|
Numeric Symmetry
|
0% |
|
Cholesky Candidate
|
no |
|
Positive Definite
|
no |
|
Type
|
integer |
| SVD Statistics |
| Matrix Norm |
1.146201e+01 |
| Minimum Singular Value |
3.105103e-15 |
| Condition Number |
3.691348e+15
|
| Rank |
14,573 |
| sprank(A)-rank(A) |
121 |
| Null Space Dimension |
121 |
| Full Numerical Rank? |
no |
| Download Singular Values |
MATLAB
|
| Download |
MATLAB
Rutherford Boeing
Matrix Market
|
| Notes |
A Netlib LP problem, in lp/data/kennington. For more information
send email to netlib@ornl.gov with the message:
send index from lp
send readme from lp/data
send readme from lp/data/kennington
The following are relevant excerpts from lp/data/kennington/readme:
The "Kennington" problems: sixteen problems described in "An Empirical
Evaluation of the KORBX Algorithms for Military Airlift Applications"
by W. J. Carolan, J. E. Hill, J. L. Kennington, S. Niemi, S. J.
Wichmann (Operations Research vol. 38, no. 2 (1990), pp. 240-248).
The following table gives some statistics for the "Kennington"
problems. The number of columns excludes slacks and surpluses.
The bounds column tells how many entries appear in the BOUNDS
section of the MPS file. The mpc column shows the bytes in
the problem after "uncompress" and before "emps"; MPS shows
the bytes after "emps". The optimal values were computed by
Vanderbei's ALPO, running on an SGI computer (with binary IEEE
arithmetic).
Name rows columns nonzeros bounds mpc MPS optimal value
KEN-11 14695 21349 70354 42698 928171 4167698 -6.9723823e+09
Submitted to Netlib by Irv Lustig.
|
