Matrix: LPnetlib/lp_pds_02

Description: Netlib LP problem pds_02: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_pds_02 graph
(bipartite graph drawing)


LPnetlib/lp_pds_02 dmperm of LPnetlib/lp_pds_02

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 39 KB. Use UFget(649) or UFget('LPnetlib/lp_pds_02') in MATLAB.
  • download in Matrix Market format, file size: 70 KB.
  • download in Rutherford/Boeing format, file size: 49 KB.

    Matrix properties
    number of rows2,953
    number of columns7,716
    nonzeros16,571
    structural full rank?yes
    structural rank2,953
    # of blocks from dmperm300
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

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

    Additional fieldssize and type
    bfull 2953-by-1
    cfull 7716-by-1
    lofull 7716-by-1
    hifull 7716-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
    PDS-02     2954    7535     21252     2134    197821    801690   2.8857862e+10
                                                                                  
    Submitted to Netlib by Irv Lustig.                                            
                                                                                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD790,391
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD44,486

    SVD-based statistics:
    norm(A)9.59392
    min(svd(A))1.53412e-15
    cond(A)6.25368e+15
    rank(A)2,942
    sprank(A)-rank(A)11
    null space dimension11
    full numerical rank?no
    singular value gap5.30257e+13

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

    LPnetlib/lp_pds_02 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.