LPnetlib/lp_grow7
Netlib LP problem grow7: minimize c'*x, where Ax=b, lo<=x<=hi
Name 
lp_grow7 
Group 
LPnetlib 
Matrix ID 
634 
Num Rows

140 
Num Cols

301 
Nonzeros

2,612 
Pattern Entries

2,612 
Kind

Linear Programming Problem 
Symmetric

No 
Date

1983 
Author

R. Fourer 
Editor

R. Fourer 
Structural Rank 
140 
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

real 
SVD Statistics 
Matrix Norm 
2.483570e+00 
Minimum Singular Value 
4.797452e01 
Condition Number 
5.176853e+00

Rank 
140 
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 righthand side vector, but include
the cost row. We have omitted other free rows and all but the first
righthand 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 BOUNDTYPE 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
GROW7 141 301 2633 17043 B 4.7787811815E+07
BOUNDTYPE TABLE
GROW7 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. 251292.
