Matrix properties
number of rows	300
number of columns	645
nonzeros	5,620
structural full rank?	yes
structural rank	300
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	real
structure	rectangular
Cholesky candidate?	no
positive definite?	no

author	R. Fourer
editor	R. Fourer
date	1983
kind	linear programming problem
2D/3D problem?	no

Additional fields	size and type
b	full 300-by-1
c	full 645-by-1
lo	full 645-by-1
hi	full 645-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 BOUND-TYPE TABLE below shows the bound types       
present in those problems that have bounds.                               
                                                                          
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         
GROW15      301    645     5665      35041  B    -1.0687094129E+08        
                                                                          
        BOUND-TYPE TABLE                                                  
GROW15     UP                                                             
                                                                          
Supplied by Bob Fourer.                                                   
When included in Netlib: Extra bound sets omitted; explicit zeros         
omitted; Cost coefficients negated.                                       
                                                                          
Source:   GROW15, GROW22, GROW7: R. Fourer, "Solving Staircase Linear     
Programs by the Simplex Method, 2: Pricing", Math. Prog. 25 (1983),       
pp. 251-292.                                                              
                                                                          

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	54,734
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	6,105

SVD-based statistics:
norm(A)	2.51
min(svd(A))	0.443522
cond(A)	5.65924
rank(A)	300
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.