Matrix: Mittelmann/fome11

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

Mittelmann/fome11 graph
(bipartite graph drawing)


Mittelmann/fome11
scc of Mittelmann/fome11

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  • Matrix group: Mittelmann
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  • download as a MATLAB mat-file, file size: 289 KB. Use UFget(1665) or UFget('Mittelmann/fome11') in MATLAB.
  • download in Matrix Market format, file size: 351 KB.
  • download in Rutherford/Boeing format, file size: 297 KB.

    Matrix properties
    number of rows12,142
    number of columns24,460
    nonzeros71,264
    structural full rank?yes
    structural rank12,142
    # of blocks from dmperm1
    # strongly connected comp.2
    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 12142-by-1
    cfull 24460-by-1
    lofull 24460-by-1
    hifull 24460-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 COLAMD18,389,701
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,089,412

    SVD-based statistics:
    norm(A)15.917
    min(svd(A))4.5988e-16
    cond(A)3.46111e+16
    rank(A)12,116
    sprank(A)-rank(A)26
    null space dimension26
    full numerical rank?no
    singular value gap2.88598e+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/fome11 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.