Matrix: Meszaros/ulevimin

Description: linear programming problem, C. Meszaros test set

Meszaros/ulevimin graph
(bipartite graph drawing)


Meszaros/ulevimin dmperm of Meszaros/ulevimin
scc of Meszaros/ulevimin

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  • download as a MATLAB mat-file, file size: 486 KB. Use UFget(1779) or UFget('Meszaros/ulevimin') in MATLAB.
  • download in Matrix Market format, file size: 657 KB.
  • download in Rutherford/Boeing format, file size: 449 KB.

    Matrix properties
    number of rows6,590
    number of columns46,937
    nonzeros164,538
    structural full rank?yes
    structural rank6,590
    # of blocks from dmperm197
    # strongly connected comp.184
    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 6590-by-1
    cfull 46937-by-1
    lofull 46937-by-1
    hifull 46937-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 COLAMD23,086,732
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD407,271

    SVD-based statistics:
    norm(A)5.72787e+07
    min(svd(A))0.0768309
    cond(A)7.45517e+08
    rank(A)6,590
    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/ulevimin 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.