Matrix: Meszaros/south31

Description: linear programming problem, C. Meszaros test set

Meszaros/south31 graph
(bipartite graph drawing)


Meszaros/south31 dmperm of Meszaros/south31
scc of Meszaros/south31

  • 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: 700 KB. Use UFget(1771) or UFget('Meszaros/south31') in MATLAB.
  • download in Matrix Market format, file size: 604 KB.
  • download in Rutherford/Boeing format, file size: 597 KB.

    Matrix properties
    number of rows18,425
    number of columns36,321
    nonzeros112,398
    structural full rank?yes
    structural rank18,425
    # of blocks from dmperm437
    # strongly connected comp.437
    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 18425-by-1
    cfull 36321-by-1
    lofull 36321-by-1
    hifull 36321-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 COLAMD162,746,919
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD158,761,571

    SVD-based statistics:
    norm(A)12894.3
    min(svd(A))0.285603
    cond(A)45147.6
    rank(A)18,425
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Meszaros/south31 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.