Matrix: Mittelmann/fome12

Description: Linear programming problem (H. Mittelmann test set)

Mittelmann/fome12 graph
(bipartite graph drawing)


Mittelmann/fome12
scc of Mittelmann/fome12

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  • Matrix group: Mittelmann
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  • download as a MATLAB mat-file, file size: 577 KB. Use UFget(1666) or UFget('Mittelmann/fome12') in MATLAB.
  • download in Matrix Market format, file size: 704 KB.
  • download in Rutherford/Boeing format, file size: 592 KB.

    Matrix properties
    number of rows24,284
    number of columns48,920
    nonzeros142,528
    structural full rank?yes
    structural rank24,284
    # of blocks from dmperm1
    # strongly connected comp.4
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorH. Mittelmann
    date2005
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 24284-by-1
    cfull 48920-by-1
    lofull 48920-by-1
    hifull 48920-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           
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD36,109,275
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD6,178,824

    SVD-based statistics:
    norm(A)15.917
    min(svd(A))5.09752e-16
    cond(A)3.12249e+16
    rank(A)24,232
    sprank(A)-rank(A)52
    null space dimension52
    full numerical rank?no
    singular value gap2.65607e+13

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

    Mittelmann/fome12 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.