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ngraph.sparse-collection

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Subset of the University of Florida sparse matrix collection

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# LPnetlib/lp_degen2 UF Sparse Matrix Collection, Tim Davis http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lp_degen2 [Netlib LP problem degen2: minimize c'*x, where Ax=b, lo<=x<=hi] id: 617 date: 1989 author: J. Tomlin 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@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 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 DEGEN2 445 534 4449 24657 -1.4351780000E+03 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 DEGEN2 1075 610 56.74 When included in Netlib: Cost coefficients negated. Added to Netlib on 30 Oct. 1989 ![LPnetlib/lp_degen2](http://yifanhu.net/GALLERY/GRAPHS/GIF_SMALL/LPnetlib@lp_degen2.gif)