Matrix: LPnetlib/lpi_gosh

Description: Netlib LP problem gosh: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lpi_gosh graph
(bipartite graph drawing)


LPnetlib/lpi_gosh dmperm of LPnetlib/lpi_gosh
scc of LPnetlib/lpi_gosh

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: LPnetlib
  • Click here for a description of the LPnetlib group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 310 KB. Use UFget(716) or UFget('LPnetlib/lpi_gosh') in MATLAB.
  • download in Matrix Market format, file size: 375 KB.
  • download in Rutherford/Boeing format, file size: 217 KB.

    Matrix properties
    number of rows3,792
    number of columns13,455
    nonzeros99,953
    structural full rank?no
    structural rank3,790
    # of blocks from dmperm130
    # strongly connected comp.105
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorR. Main
    editorJ. Chinneck
    date1993
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 3792-by-1
    cfull 13455-by-1
    lofull 13455-by-1
    hifull 13455-by-1
    z0full 1-by-1

    Notes:

    An infeasible Netlib LP problem, in lp/infeas.  For more information        
    send email to netlib@ornl.gov with the message:                             
                                                                                
    	send index from lp                                                         
    	send readme from lp/infeas                                                 
                                                                                
    The lp/infeas directory contains infeasible linear programming test problems
    collected by John W. Chinneck, Carleton Univ, Ontario Canada.  The following
    are relevant excerpts from lp/infeas/readme (by John W. Chinneck):          
                                                                                
    PROBLEM DESCRIPTION                                                         
    -------------------                                                         
                                                                                
    GOSH, GRAN, PANG:  these very large, large, and medium size models,         
    respectively, problems arose from British Petroleum operations models.      
    Contributor:  Roger Main, BP Oil.                                           
                                                                                
    Name       Rows   Cols   Nonzeros Bounds      Notes                         
    gosh       3793  10733    97257   B FR         242 free cols                
                                                                                
    Added to Netlib on Sept. 19, 1993                                           
                                                                                
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD4,605,419
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD275,933

    SVD-based statistics:
    norm(A)323.672
    min(svd(A))6.28529e-16
    cond(A)5.14968e+17
    rank(A)3,790
    sprank(A)-rank(A)0
    null space dimension2
    full numerical rank?no
    singular value gap5.53499e+11

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    LPnetlib/lpi_gosh svd

    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.