• SJSU Singular Matrix Database
  • Matrix group: Meszaros
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  • Matrix: Meszaros/stormg2-27
  • Description: Deterministic equiv. of stochastic linear programming problem
  • download as a MATLAB mat-file, file size: 205 KB. Use SJget(453) or SJget('Meszaros/stormg2-27') in MATLAB.
  • download in Matrix Market format, file size: 319 KB.
  • download in Rutherford/Boeing format, file size: 252 KB.

    Meszaros/stormg2-27

    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 14385 to 14390 and associated error bounds.

    Meszaros/stormg2-27

    dmperm of Meszaros/stormg2-27

    scc of Meszaros/stormg2-27

    Matrix properties (click for a legend)  
    number of rows14,441
    number of columns37,485
    structural full rank?no
    structural rank14,387
    numerical rank 14,387
    dimension of the numerical null space23,098
    numerical rank / min(size(A))0.99626
    Euclidean norm of A 544.66
    calculated singular value # 143870.13658
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.2616e-009
    calculated singular value # 143881.4162e-018
    gap in the singular values at the numerical rank:
    singular value # 14387 / singular value # 14388
    9.6442e+016
    calculated condition number-2
    condest-2
    nonzeros94,274
    # of blocks from dmperm83
    # strongly connected comp.136
    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
    SJid453
    UFid1,810

    Additional fieldssize and type
    bfull 14441-by-1
    cfull 37485-by-1
    lofull 37485-by-1
    hifull 37485-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 LU23,810,240 12,438,716
    nnz(R) for QR, upper bound nnz(U) for LU945,148 708,805

    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.