Matrix: Meszaros/us04

Description: linear programming problem, C. Meszaros test set

Meszaros/us04 graph
(bipartite graph drawing)


Meszaros/us04 dmperm of Meszaros/us04

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  • download as a MATLAB mat-file, file size: 252 KB. Use UFget(1780) or UFget('Meszaros/us04') in MATLAB.
  • download in Matrix Market format, file size: 746 KB.
  • download in Rutherford/Boeing format, file size: 289 KB.

    Matrix properties
    number of rows163
    number of columns28,016
    nonzeros297,538
    structural full rank?no
    structural rank162
    # of blocks from dmperm2
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2004
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 163-by-1
    cfull 28016-by-1
    lofull 28016-by-1
    hifull 28016-by-1
    z0full 1-by-1

    Notes:

    http://www.sztaki.hu/~meszaros/public_ftp/lptestset      
    Converted to standard form via Resende and Veiga's mpsrd:
    minimize c'*x, subject to A*x=b and lo <= x <= hi        
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,466,765
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,878

    SVD-based statistics:
    norm(A)237.503
    min(svd(A))0
    cond(A)Inf
    rank(A)115
    sprank(A)-rank(A)47
    null space dimension48
    full numerical rank?no
    singular value gap2.53216e+11

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero
    status:ok

    Meszaros/us04 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.