Matrix properties
number of rows	50
number of columns	78
nonzeros	160
structural full rank?	yes
structural rank	50
# of blocks from dmperm	2
# strongly connected comp.	2
explicit zero entries	0
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	real
structure	rectangular
Cholesky candidate?	no
positive definite?	no

author	N. Gould
editor	D. Gay
date	1989
kind	linear programming problem
2D/3D problem?	no

Additional fields	size and type
b	full 50-by-1
c	full 78-by-1
lo	full 78-by-1
hi	full 78-by-1
z0	full 1-by-1

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         
SC50A        51     48      131       1615       -6.4575077059E+01        
                                                                          
Nick Gould supplied SC50A from the Harwell collection of LP test problems.
When included in Netlib: Cost coefficients negated.                       
                                                                          
Added to Netlib on  6 April 1989                                          

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	509
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	238

SVD-based statistics:
norm(A)	4.09351
min(svd(A))	0.331146
cond(A)	12.3616
rank(A)	50
sprank(A)-rank(A)	0
null space dimension	0
full numerical rank?	yes

singular values (MAT file):	click here
SVD method used:	s = svd (full (A)) ;
status:	ok

For a description of the statistics displayed above, click here.

Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.