UNPKG

ngraph.sparse-collection

Version:

Subset of the University of Florida sparse matrix collection

104 lines (42 loc) 3.62 kB
# LPnetlib/lp_shell UF Sparse Matrix Collection, Tim Davis http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lp_shell [Netlib LP problem shell: minimize c'*x, where Ax=b, lo<=x<=hi] id: 683 date: 1978 author: J. Reid 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 ------------------------------------------------------------------------------ This LP problem is the source of three sparse matrices in the Harwell/Boeing sparse matrix collection: SHL_0, SHL_200, and SHL_400. Those three matrices are square, nonsingular basis matrices that occured during the solution of SHELL. ------------------------------------------------------------------------------ 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 SHELL 537 1775 4900 38049 B 1.2088253460E+09 BOUND-TYPE TABLE SHELL UP LO FX From John Reid. ![LPnetlib/lp_shell](http://yifanhu.net/GALLERY/GRAPHS/GIF_SMALL/LPnetlib@lp_shell.gif)