LPnetlib/lp_kb2
Netlib LP problem kb2: minimize c'*x, where Ax=b, lo<=x<=hi
Name |
lp_kb2 |
Group |
LPnetlib |
Matrix ID |
636 |
Num Rows
|
43 |
Num Cols
|
68 |
Nonzeros
|
313 |
Pattern Entries
|
313 |
Kind
|
Linear Programming Problem |
Symmetric
|
No |
Date
|
1989 |
Author
|
J. Tomlin |
Editor
|
D. Gay |
Structural Rank |
43 |
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 |
6.242916e+02 |
Minimum Singular Value |
1.233973e-02 |
Condition Number |
5.059201e+04
|
Rank |
43 |
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 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
KB2 44 41 291 2526 B -1.7499001299E+03
BOUND-TYPE TABLE
KB2 UP
Empty RHS section.
From John Tomlin.
On the problems supplied by John Tomlin, MINOS 5.3 reports that about
10% to 57% of its steps are degenerate:
Name Steps Degen Percent
KB2 82 29 35.37
Added to Netlib on 27 June 1989
|