Matrix: Qaplib/lp_nug15

Description: Netlib LP problem nug15: minimize c'*x, where Ax=b, lo<=x<=hi

Qaplib/lp_nug15 graph
(bipartite graph drawing)


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  • Matrix group: Qaplib
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  • download as a MATLAB mat-file, file size: 159 KB. Use UFget(798) or UFget('Qaplib/lp_nug15') in MATLAB.
  • download in Matrix Market format, file size: 321 KB.
  • download in Rutherford/Boeing format, file size: 220 KB.

    Matrix properties
    number of rows6,330
    number of columns22,275
    structural full rank?yes
    structural rank6,330
    # 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 6330-by-1
    cfull 22275-by-1
    lofull 22275-by-1
    hifull 22275-by-1
    z0full 1-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD78,034,603
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,732,660

    SVD-based statistics:
    null space dimension632
    full numerical rank?no
    singular value gap3.23507e+14

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

    Qaplib/lp_nug15 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.