Description: Netlib LP problem stocfor2: minimize c'*x, where Ax=b, lo<=x<=hi
|(bipartite graph drawing)|
|number of rows||2,157|
|number of columns||3,045|
|structural full rank?||yes|
|# of blocks from dmperm||17|
|# strongly connected comp.||1|
|explicit zero entries||0|
|nonzero pattern symmetry||0%|
|numeric value symmetry||0%|
|kind||linear programming problem|
|Additional fields||size and type|
A Netlib LP problem, in lp/data. For more information send email to firstname.lastname@example.org 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 STOCFOR2 2158 2031 9492 79845 -3.9024408538E+04 STOCFOR1,2,3 are stochastic forestry problems from Gus Gassmann. To quote Gus, "All of them are seven-period descriptions of a forestry problem with a random occurrence of forest fires, and the size varies according to the number of realizations you use in each period." STOCFOR1 "is the deterministic version, STOCFOR2 has 2 realizations each in periods 2 to 7, and the monster STOCFOR3 has 4,4,4,2,2, and 2 realizations, respectively." The compressed form of STOCFOR3 would be 652846 bytes long, so requesting STOCFOR3 will instead get you a bundle of about 174 kilobytes that includes source for Gus's program, the data files for generating STOCFOR3 and a summary of "A Standard Input Format for Multistage Stochastic Linear Programs" by J.R. Birge, M.A.H. Dempster, H.I. Gassmann, E.A. Gunn, A.J. King, and S.W. Wallace [COAL Newsletter No. 17 (Dec. 1987), pp. 1-19]. Data files are also included for generating versions of STOCFOR1,2 that have more decimal places than the versions in lp/data. Added to Netlib on 25 June 1988
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||105,467|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||30,736|
|null space dimension||0|
|full numerical rank?||yes|
|singular values (MAT file):||click here|
|SVD method used:||s = svd (full (A)) ;|
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.