Matrix: Meszaros/e18

Description: linear programming problem, C. Meszaros test set

Meszaros/e18 graph
(bipartite graph drawing)


Meszaros/e18
scc of Meszaros/e18

  • 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: 358 KB. Use UFget(1708) or UFget('Meszaros/e18') in MATLAB.
  • download in Matrix Market format, file size: 542 KB.
  • download in Rutherford/Boeing format, file size: 466 KB.

    Matrix properties
    number of rows24,617
    number of columns38,602
    nonzeros156,466
    structural full rank?yes
    structural rank24,617
    # of blocks from dmperm1
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2006
    kindlinear programming problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 24617-by-1
    cfull 38602-by-1
    lofull 38602-by-1
    hifull 38602-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 COLAMD167,394,600
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD102,953,400

    SVD-based statistics:
    norm(A)2040.59
    min(svd(A))0.00129226
    cond(A)1.57909e+06
    rank(A)24,617
    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/e18 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.