Matrix: Qaplib/lp_nug06

Description: Netlib LP problem nug06: minimize c'*x, where Ax=b, lo<=x<=hi

Qaplib/lp_nug06 graph
(bipartite graph drawing)


Qaplib/lp_nug06

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  • Matrix group: Qaplib
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  • download as a MATLAB mat-file, file size: 5 KB. Use UFget(794) or UFget('Qaplib/lp_nug06') in MATLAB.
  • download in Matrix Market format, file size: 7 KB.
  • download in Rutherford/Boeing format, file size: 6 KB.

    Matrix properties
    number of rows372
    number of columns486
    nonzeros2,232
    structural full rank?yes
    structural rank372
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorM. Resende
    editorM. Resende
    date1995
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 372-by-1
    cfull 486-by-1
    lofull 486-by-1
    hifull 486-by-1
    z0full 1-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD59,153
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD35,901

    SVD-based statistics:
    norm(A)5.93106
    min(svd(A))4.75382e-16
    cond(A)1.24764e+16
    rank(A)280
    sprank(A)-rank(A)92
    null space dimension92
    full numerical rank?no
    singular value gap2.45364e+14

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

    Qaplib/lp_nug06 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.