Matrix: LPnetlib/lp_pds_10

Description: Netlib LP problem pds_10: minimize c'*x, where Ax=b, lo<=x<=hi

LPnetlib/lp_pds_10 graph
(bipartite graph drawing)


LPnetlib/lp_pds_10 dmperm of LPnetlib/lp_pds_10

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  • Matrix group: LPnetlib
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  • download as a MATLAB mat-file, file size: 258 KB. Use UFget(651) or UFget('LPnetlib/lp_pds_10') in MATLAB.
  • download in Matrix Market format, file size: 425 KB.
  • download in Rutherford/Boeing format, file size: 316 KB.

    Matrix properties
    number of rows16,558
    number of columns49,932
    nonzeros107,605
    structural full rank?yes
    structural rank16,558
    # of blocks from dmperm581
    # 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 16558-by-1
    cfull 49932-by-1
    lofull 49932-by-1
    hifull 49932-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-10    16559   48763    140063    16148   1313834   5331274   2.6727095e+10
                                                                                  
    Submitted to Netlib by Irv Lustig.                                            
                                                                                  
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD40,737,939
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,633,555

    SVD-based statistics:
    norm(A)9.85247
    min(svd(A))9.72497e-16
    cond(A)1.01311e+16
    rank(A)16,547
    sprank(A)-rank(A)11
    null space dimension11
    full numerical rank?no
    singular value gap1.23703e+14

    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_pds_10 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.