Matrix: Qaplib/lp_nug07

Description: Netlib LP problem nug07: minimize c'*x, where Ax=b, lo<=x<=hi

Qaplib/lp_nug07 graph
(bipartite graph drawing)


Qaplib/lp_nug07

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  • Matrix group: Qaplib
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  • download as a MATLAB mat-file, file size: 8 KB. Use UFget(795) or UFget('Qaplib/lp_nug07') in MATLAB.
  • download in Matrix Market format, file size: 13 KB.
  • download in Rutherford/Boeing format, file size: 10 KB.

    Matrix properties
    number of rows602
    number of columns931
    nonzeros4,214
    structural full rank?yes
    structural rank602
    # 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 602-by-1
    cfull 931-by-1
    lofull 931-by-1
    hifull 931-by-1
    z0full 1-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD210,912
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD92,624

    SVD-based statistics:
    norm(A)6.48074
    min(svd(A))8.6018e-16
    cond(A)7.53416e+15
    rank(A)474
    sprank(A)-rank(A)128
    null space dimension128
    full numerical rank?no
    singular value gap1.66429e+14

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

    Qaplib/lp_nug07 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.