• UF Sparse Matrix Collection
  • Matrix group: Mittelmann
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  • Matrix: Mittelmann/nug08-3rd
  • Description: LP lower bounds for quadratic assignment problems
  • download as a MATLAB mat-file, file size: 312 KB. Use UFget(1645) or UFget('Mittelmann/nug08-3rd') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Mittelmann/nug08-3rd

    Matrix properties
    number of rows19,728
    number of columns29,856
    nonzeros148,416
    structural full rank?yes
    structural rank19,728
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorS. Karisch, F. Rendl
    editorH. Mittelmann
    date1995
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 19728-by-1
    cfull 29856-by-1
    lofull 29856-by-1
    hifull 29856-by-1
    z0full 1-by-1

    Notes:

    Hans Mittelmann test set, http://plato.asu.edu/ftp/lptestset           
    minimize c'*x, subject to A*x=b and lo <= x <= hi                      
                                                                           
    NUG:  computing LP lower bounds for quadratic assignment problems.  see
    S.E. KARISCH and F. RENDL. Lower bounds for the quadratic assignment   
    problem via triangle decompositions.  Mathematical Programming,        
    71(2):137-152, 1995.                                                   
    K.G. Ramakrishnan, M.G.C. Resende, B. Ramachandran, and J.F. Pekny,    
    "Tight QAP bounds via linear programming," Combinatorial and Global    
    Optimization, P.M. Pardalos, A. Migdalas, and R.E. Burkard, eds.,      
    World Scientific Publishing Co., Singapore, pp. 297-303, 2002.         
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU184,473,912 105,050,062
    nnz(R) for QR, upper bound nnz(U) for LU114,635,182 56,058,812

    Maintained by Tim Davis, last updated 05-Mar-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.