Matrix: LPnetlib/lp_osa_60

Description: Netlib LP problem osa_60: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_osa_60 graph
(bipartite graph drawing)


LPnetlib/lp_osa_60

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 4 MB. Use UFget(648) or UFget('LPnetlib/lp_osa_60') in MATLAB.
  • download in Matrix Market format, file size: 5 MB.
  • download in Rutherford/Boeing format, file size: 4 MB.

    Matrix properties
    number of rows10,280
    number of columns243,246
    nonzeros1,408,073
    structural full rank?yes
    structural rank10,280
    # 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 10280-by-1
    cfull 243246-by-1
    lofull 243246-by-1
    hifull 243246-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-60    10281  232966   1630758        0  10377094  52402461   4.0440725e+06
                                                                                  
    Submitted to Netlib by Irv Lustig.                                            
                                                                                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD19,114,532
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD515,735

    SVD-based statistics:
    norm(A)2138.5
    min(svd(A))1
    cond(A)2138.5
    rank(A)10,280
    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_60 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.