ngraph.sparse-collection
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Subset of the University of Florida sparse matrix collection
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# LPnetlib/lp_d6cube
UF Sparse Matrix Collection, Tim Davis
http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lp_d6cube
[Netlib LP problem d6cube: minimize c'*x, where Ax=b, lo<=x<=hi]
id: 616
date: 1993
author: R. Hughes
ed: D. Gay
fields: title name A b id aux kind date author ed notes
aux: c lo hi z0
kind: linear programming problem
notes:
A Netlib LP problem, in lp/data. For more information
send email to netlib.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
D6CUBE 416 6184 43888 167633 B 3.1549166667E+02
BOUND-TYPE TABLE
D6CUBE LO
Supplied by Robert Hughes.
Of D6CUBE, Robert Hughes says, "Mike Anderson and I are working on the
problem of finding the minimum cardinality of triangulations of the
6-dimensional cube. The optimal objective value of the problem I sent
you provides a lower bound for the cardinalities of all triangulations
which contain a certain simplex of volume 8/6! and which contains the
centroid of the 6-cube in its interior. The linear programming
problem is not easily described."
Added to Netlib on 26 March 1993
