LPnetlib/lp_pds_06
Netlib LP problem pds_06: minimize c'*x, where Ax=b, lo<=x<=hi
Name 
lp_pds_06 
Group 
LPnetlib 
Matrix ID 
650 
Num Rows

9,881 
Num Cols

29,351 
Nonzeros

63,220 
Pattern Entries

63,220 
Kind

Linear Programming Problem 
Symmetric

No 
Date

1990 
Author

J. Kennington 
Editor

I. Lustig 
Structural Rank 
9,881 
Structural Rank Full 
true 
Num Dmperm Blocks

516 
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 
9.851414e+00 
Minimum Singular Value 
9.070714e16 
Condition Number 
1.086068e+16

Rank 
9,870 
sprank(A)rank(A) 
11 
Null Space Dimension 
11 
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. 240248).
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
PDS06 9882 28655 82269 9240 769564 3124272 2.7761038e+10
Submitted to Netlib by Irv Lustig.
