Matrix: LPnetlib/lp_osa_07

Description: Netlib LP problem osa_07: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_osa_07 graph
(bipartite graph drawing)


LPnetlib/lp_osa_07

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 385 KB. Use UFget(645) or UFget('LPnetlib/lp_osa_07') in MATLAB.
  • download in Matrix Market format, file size: 521 KB.
  • download in Rutherford/Boeing format, file size: 378 KB.

    Matrix properties
    number of rows1,118
    number of columns25,067
    nonzeros144,812
    structural full rank?yes
    structural rank1,118
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorJ. Kennington
    editorI. Lustig
    date1990
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 1118-by-1
    cfull 25067-by-1
    lofull 25067-by-1
    hifull 25067-by-1
    z0full 1-by-1

    Notes:

    A Netlib LP problem, in lp/data/kennington.  For more information             
    send email to netlib@ornl.gov with the message:                               
                                                                                  
    	 send index from lp                                                          
    	 send readme from lp/data                                                    
    	 send readme from lp/data/kennington                                         
                                                                                  
    The following are relevant excerpts from lp/data/kennington/readme:           
                                                                                  
    The "Kennington" problems: sixteen problems described in "An Empirical        
    Evaluation of the KORBX Algorithms for Military Airlift Applications"         
    by W. J. Carolan, J. E. Hill, J. L. Kennington, S. Niemi, S. J.               
    Wichmann (Operations Research vol. 38, no. 2 (1990), pp. 240-248).            
                                                                                  
    The following table gives some statistics for the "Kennington"                
    problems.  The number of columns excludes slacks and surpluses.               
    The bounds column tells how many entries appear in the BOUNDS                 
    section of the MPS file.  The mpc column shows the bytes in                   
    the problem after "uncompress" and before "emps"; MPS shows                   
    the bytes after "emps".  The optimal values were computed by                  
    Vanderbei's ALPO, running on an SGI computer (with binary IEEE                
    arithmetic).                                                                  
                                                                                  
    Name       rows  columns  nonzeros  bounds      mpc      MPS     optimal value
    OSA-07     1119   23949    167643        0   1059475   5388666   5.3572252e+05
                                                                                  
    Submitted to Netlib by Irv Lustig.                                            
                                                                                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,878,420
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD56,056

    SVD-based statistics:
    norm(A)680.325
    min(svd(A))1
    cond(A)680.325
    rank(A)1,118
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero
    status:ok

    LPnetlib/lp_osa_07 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.