LPnetlib/lp_sctap1

Netlib LP problem sctap1: minimize c'*x, where Ax=b, lo<=x<=hi
Name lp_sctap1
Group LPnetlib
Matrix ID 678
Num Rows 300
Num Cols 660
Nonzeros 1,872
Pattern Entries 1,872
Kind Linear Programming Problem
Symmetric No
Date 1981
Author J. Ho, E. Loute
Editor R. Fourer
Structural Rank 300
Structural Rank Full true
Num Dmperm Blocks 1
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 1.655931e+02
Minimum Singular Value 1.000000e+00
Condition Number 1.655931e+02
Rank 300
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
Download Singular Values MATLAB
Download MATLAB Rutherford Boeing Matrix Market
Notes
A Netlib LP problem, in lp/data.  For more information                    
send email to netlib@ornl.gov with the message:                           
                                                                          
	 send index from lp                                                      
	 send readme from lp/data                                                
                                                                          
The following are relevant excerpts from lp/data/readme (by David M. Gay):
                                                                          
The column and nonzero counts in the PROBLEM SUMMARY TABLE below exclude  
slack and surplus columns and the right-hand side vector, but include     
the cost row.  We have omitted other free rows and all but the first      
right-hand side vector, as noted below.  The byte count is for the        
MPS compressed file; it includes a newline character at the end of each   
line.  These files start with a blank initial line intended to prevent    
mail programs from discarding any of the data.  The BR column indicates   
whether a problem has bounds or ranges:  B stands for "has bounds", R     
for "has ranges".                                                         
                                                                          
The optimal value is from MINOS version 5.3 (of Sept. 1988)               
running on a VAX with default options.                                    
                                                                          
                       PROBLEM SUMMARY TABLE                              
                                                                          
Name       Rows   Cols   Nonzeros    Bytes  BR      Optimal Value         
SCTAP1      301    480     2052      14970        1.4122500000E+03        
                                                                          
Supplied by Bob Fourer.                                                   
When included in Netlib: Extra free rows omitted.                         
Source: J.K. Ho and E. Loute, "A Set of Staircase Linear Programming      
Test Problems", Math. Prog. 20 (1981), pp. 245-250.