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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_d2q06c UF Sparse Matrix Collection, Tim Davis http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lp_d2q06c [Netlib LP problem d2q06c: minimize c'*x, where Ax=b, lo<=x<=hi] id: 615 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 D2Q06C 2172 5167 35674 258038 1.2278423615E+05 Bob Bixby reports that the CPLEX solver (running on a Sparc station) finds slightly different optimal values for some of the problems. On a MIPS processor, MINOS version 5.3 (with crash and scaling of December 1989) also finds different optimal values for some of the problems. The following table shows the values that differ from those shown above. (Whether CPLEX finds different values on the recently added problems remains to be seen.) Problem CPLEX(Sparc) MINOS(MIPS) D2Q06C 1.2278423521E+05 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 D2Q06C 42417 4223 9.96 Added to Netlib on 30 Oct. 1989 ![LPnetlib/lp_d2q06c](http://yifanhu.net/GALLERY/GRAPHS/GIF_SMALL/LPnetlib@lp_d2q06c.gif)