Matrix: Qaplib/lp_nug12

Description: Netlib LP problem nug12: minimize c'*x, where Ax=b, lo<=x<=hi

Qaplib/lp_nug12 graph
(bipartite graph drawing)


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  • Matrix group: Qaplib
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  • download as a MATLAB mat-file, file size: 64 KB. Use UFget(797) or UFget('Qaplib/lp_nug12') in MATLAB.
  • download in Matrix Market format, file size: 124 KB.
  • download in Rutherford/Boeing format, file size: 88 KB.

    Matrix properties
    number of rows3,192
    number of columns8,856
    structural full rank?yes
    structural rank3,192
    # 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

    authorM. Resende
    editorM. Resende
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 3192-by-1
    cfull 8856-by-1
    lofull 8856-by-1
    hifull 8856-by-1
    z0full 1-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD15,183,390
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,713,968

    SVD-based statistics:
    null space dimension398
    full numerical rank?no
    singular value gap9.93766e+13

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Qaplib/lp_nug12 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.