Matrix: LPnetlib/lp_ken_18

Description: Netlib LP problem ken_18: minimize c'*x, where Ax=b, lo<=x<=hi

 (bipartite graph drawing)

• Matrix group: LPnetlib
• download as a MATLAB mat-file, file size: 1 MB. Use UFget(640) or UFget('LPnetlib/lp_ken_18') in MATLAB.

 Matrix properties number of rows 105,127 number of columns 154,699 nonzeros 358,171 structural full rank? yes structural rank 105,127 # of blocks from dmperm 26,266 # strongly connected comp. 1 explicit zero entries 0 nonzero pattern symmetry 0% numeric value symmetry 0% type integer structure rectangular Cholesky candidate? no positive definite? no

 author J. Kennington editor D. Gay date 1991 kind linear programming problem 2D/3D problem? no

 Additional fields size and type b full 105127-by-1 c full 154699-by-1 lo full 154699-by-1 hi full 154699-by-1 z0 full 1-by-1

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

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-18   105128  154699    512719   309398   7138893  29855000  -5.2217025e+10

Submitted to Netlib by Irv Lustig.

```

 Ordering statistics: result nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 13,119,543 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 2,229,341