Matrix: LPnetlib/lp_cre_a

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

LPnetlib/lp_cre_a graph
(bipartite graph drawing)


LPnetlib/lp_cre_a dmperm of LPnetlib/lp_cre_a
scc of LPnetlib/lp_cre_a

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 47 KB. Use UFget(609) or UFget('LPnetlib/lp_cre_a') in MATLAB.
  • download in Matrix Market format, file size: 69 KB.
  • download in Rutherford/Boeing format, file size: 58 KB.

    Matrix properties
    number of rows3,516
    number of columns7,248
    nonzeros18,168
    structural full rank?no
    structural rank3,428
    # of blocks from dmperm8
    # strongly connected comp.89
    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 3516-by-1
    cfull 7248-by-1
    lofull 7248-by-1
    hifull 7248-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
    CRE-A      3517    4067     19054        0    152726    659682   2.3595407e+07
                                                                                  
    Submitted to Netlib by Irv Lustig.                                            
                                                                                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD363,400
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD37,116

    SVD-based statistics:
    norm(A)193.015
    min(svd(A))0
    cond(A)Inf
    rank(A)3,423
    sprank(A)-rank(A)5
    null space dimension93
    full numerical rank?no
    singular value gap6.16584e+12

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

    LPnetlib/lp_cre_a 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.