Matrix: Meszaros/nl

Description: linear programming problem, C. Meszaros test set

Meszaros/nl graph
(bipartite graph drawing)


Meszaros/nl dmperm of Meszaros/nl
scc of Meszaros/nl

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 149 KB. Use UFget(1739) or UFget('Meszaros/nl') in MATLAB.
  • download in Matrix Market format, file size: 214 KB.
  • download in Rutherford/Boeing format, file size: 160 KB.

    Matrix properties
    number of rows7,039
    number of columns15,325
    nonzeros47,035
    structural full rank?yes
    structural rank7,039
    # of blocks from dmperm13
    # strongly connected comp.10
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2004
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 7039-by-1
    cfull 15325-by-1
    lofull 15325-by-1
    hifull 15325-by-1
    z0full 1-by-1

    Notes:

    http://www.sztaki.hu/~meszaros/public_ftp/lptestset      
    Converted to standard form via Resende and Veiga's mpsrd:
    minimize c'*x, subject to A*x=b and lo <= x <= hi        
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD3,078,464
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD280,876

    SVD-based statistics:
    norm(A)287.405
    min(svd(A))0.0838296
    cond(A)3428.44
    rank(A)7,039
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Meszaros/nl 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.