• SJSU Singular Matrix Database
  • 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


  • Matrix: Meszaros/stormg2-8
  • Description: Deterministic equiv. of stochastic linear programming problem
  • download as a MATLAB mat-file, file size: 79 KB. Use SJget(371) or SJget('Meszaros/stormg2-8') in MATLAB.
  • download in Matrix Market format, file size: 98 KB.
  • download in Rutherford/Boeing format, file size: 79 KB.

    Meszaros/stormg2-8

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Meszaros/stormg2-8

    dmperm of Meszaros/stormg2-8

    scc of Meszaros/stormg2-8

    Matrix properties (click for a legend)  
    number of rows4,409
    number of columns11,322
    structural full rank?no
    structural rank4,393
    numerical rank 4,393
    dimension of the numerical null space6,929
    numerical rank / min(size(A))0.99637
    Euclidean norm of A 305.4
    calculated singular value # 43930.13658
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.4358e-010
    calculated singular value # 43942.1332e-015
    gap in the singular values at the numerical rank:
    singular value # 4393 / singular value # 4394
    6.4028e+013
    calculated condition numberInf
    condest-2
    nonzeros28,553
    # of blocks from dmperm26
    # strongly connected comp.41
    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
    SJid371
    UFid1,811

    Additional fieldssize and type
    bfull 4409-by-1
    cfull 11322-by-1
    lofull 11322-by-1
    hifull 11322-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:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU2,263,891 1,403,501
    nnz(R) for QR, upper bound nnz(U) for LU124,656 116,527

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.