Matrix: Mittelmann/rail507

Description: Italian railways (H. Mittelmann test set)

Mittelmann/rail507 graph
(bipartite graph drawing)


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  • Matrix group: Mittelmann
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  • download as a MATLAB mat-file, file size: 337 KB. Use UFget(1654) or UFget('Mittelmann/rail507') in MATLAB.
  • download in Matrix Market format, file size: 998 KB.
  • download in Rutherford/Boeing format, file size: 418 KB.

    Matrix properties
    number of rows507
    number of columns63,516
    structural full rank?yes
    structural rank507
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorP. Nobili
    editorJ. Beasley
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 507-by-1
    cfull 63516-by-1
    lofull 63516-by-1
    hifull 63516-by-1
    z0full 1-by-1


    Hans Mittelmann test set,
    minimize c'*x, subject to A*x=b and lo <= x <= hi           
    RAIL: set covering problems from the Italian railroad, see  

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD20,526,974
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD97,026

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    Mittelmann/rail507 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.