LPnetlib/lp_gfrd_pnc
Netlib LP problem gfrd_pnc: minimize c'*x, where Ax=b, lo<=x<=hi
Name 
lp_gfrd_pnc 
Group 
LPnetlib 
Matrix ID 
629 
Num Rows

616 
Num Cols

1,160 
Nonzeros

2,445 
Pattern Entries

2,445 
Kind

Linear Programming Problem 
Symmetric

No 
Date


Author

R. Helgason, J. Kennington, P. Wong 
Editor

R. Fourer 
Structural Rank 
616 
Structural Rank Full 
true 
Num Dmperm Blocks

27 
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 
3.555195e+03 
Minimum Singular Value 
3.812288e02 
Condition Number 
9.325618e+04

Rank 
616 
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
GFRDPNC 617 1092 3467 24476 B 6.9022359995E+06
BOUNDTYPE TABLE
GFRDPNC UP LO
Supplied by Bob Fourer.
Source: GFRDPNC, SIERRA: R. Helgason, J. Kennington, and P. Wong,
"An Application of Network Programming for National Forest Planning",
Technical Report OR 81006, Dept. of Operations Research, Southern
Methodist University.
