• SJSU Singular Matrix Database
  • Matrix group: Meszaros
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  • Matrix: Meszaros/stormg2-125
  • Description: Deterministic equiv. of stochastic linear programming problem
  • download as a MATLAB mat-file, file size: 934 KB. Use SJget(515) or SJget('Meszaros/stormg2-125') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Meszaros/stormg2-125

    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 65933 to 65938 and associated error bounds.

    Meszaros/stormg2-125

    dmperm of Meszaros/stormg2-125

    scc of Meszaros/stormg2-125

    Matrix properties (click for a legend)  
    number of rows66,185
    number of columns172,431
    structural full rank?no
    structural rank65,935
    numerical rank 65,935
    dimension of the numerical null space106,496
    numerical rank / min(size(A))0.99622
    Euclidean norm of A 1162.8
    calculated singular value # 659350.13658
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.9206e-008
    calculated singular value # 659366.0357e-017
    gap in the singular values at the numerical rank:
    singular value # 65935 / singular value # 65936
    2.263e+015
    calculated condition number-2
    condest-2
    nonzeros433,256
    # of blocks from dmperm377
    # strongly connected comp.626
    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
    SJid515
    UFid1,809

    Additional fieldssize and type
    bfull 66185-by-1
    cfull 172431-by-1
    lofull 172431-by-1
    hifull 172431-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 LU566,810,975 258,352,850
    nnz(R) for QR, upper bound nnz(U) for LU21,585,183 11,371,176

    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.