Matrix: Qaplib/lp_nug05

Description: Netlib LP problem nug05: minimize c'*x, where Ax=b, lo<=x<=hi

Qaplib/lp_nug05 graph
(bipartite graph drawing)


Qaplib/lp_nug05

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  • Matrix group: Qaplib
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  • download as a MATLAB mat-file, file size: 3 KB. Use UFget(793) or UFget('Qaplib/lp_nug05') in MATLAB.
  • download in Matrix Market format, file size: 4 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows210
    number of columns225
    nonzeros1,050
    structural full rank?yes
    structural rank210
    # 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 210-by-1
    cfull 225-by-1
    lofull 225-by-1
    hifull 225-by-1
    z0full 1-by-1

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,451
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD11,942

    SVD-based statistics:
    norm(A)5.32521
    min(svd(A))1.02105e-16
    cond(A)5.21544e+16
    rank(A)148
    sprank(A)-rank(A)62
    null space dimension62
    full numerical rank?no
    singular value gap6.00375e+14

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

    Qaplib/lp_nug05 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.