LPnetlib/lp_standgub
Netlib LP problem standgub: minimize c'*x, where Ax=b, lo<=x<=hi
Name 
lp_standgub 
Group 
LPnetlib 
Matrix ID 
693 
Num Rows

361 
Num Cols

1,383 
Nonzeros

3,338 
Pattern Entries

3,339 
Kind

Linear Programming Problem 
Symmetric

No 
Date

1989 
Author

R. Fourer 
Editor

R. Fourer 
Structural Rank 
360 
Structural Rank Full 
false 
Num Dmperm Blocks

2 
Strongly Connect Components

4 
Num Explicit Zeros

1 
Pattern Symmetry

0% 
Numeric Symmetry

0% 
Cholesky Candidate

no 
Positive Definite

no 
Type

real 
SVD Statistics 
Matrix Norm 
6.713151e+02 
Minimum Singular Value 
7.029980e17 
Condition Number 
9.549317e+18

Rank 
360 
sprank(A)rank(A) 
0 
Null Space Dimension 
1 
Full Numerical Rank? 
no 
Download Singular Values 
MATLAB

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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
STANDGUB 362 1184 3147 27836 B (see NOTES)
BOUNDTYPE TABLE
STANDGUB UP FX
Supplied by Bob Fourer.
STANDGUB includes GUB markers; with these lines removed (lines in
the expanded MPS file that contain primes, i.e., that mention the rows
'EGROUP' and 'ENDX'), STANDGUB becomes the same as problem STANDATA;
MINOS does not understand the GUB markers, so we cannot report an
optimal value from MINOS for STANDGUB. STANDMPS amounts to STANDGUB
with the GUB constraints as explicit constraints.
Source: consulting.
