Netlib LP problem ken_13: minimize c'*x, where Ax=b, lo<=x<=hi
Name lp_ken_13
Group LPnetlib
Matrix ID 639
Num Rows 28,632
Num Cols 42,659
Nonzeros 97,246
Pattern Entries 97,246
Kind Linear Programming Problem
Symmetric No
Date 1991
Author J. Kennington
Editor D. Gay
Structural Rank 28,632
Structural Rank Full true
Num Dmperm Blocks 6,099
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 1.332551e+01
Minimum Singular Value 6.793105e-47
Condition Number 1.961623e+47
Rank 28,463
sprank(A)-rank(A) 169
Null Space Dimension 169
Full Numerical Rank? no
Download Singular Values MATLAB
Download MATLAB Rutherford Boeing Matrix Market
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                
Name       rows  columns  nonzeros  bounds      mpc      MPS     optimal value
KEN-13    28633   42659    139834    85318   1836457   8254122  -1.0257395e+10
Submitted to Netlib by Irv Lustig.