• SJSU Singular Matrix Database
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
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  • Matrix: Meszaros/de063155
  • Description: Problematic linear programming problem, Meszaros test set
  • download as a MATLAB mat-file, file size: 27 KB. Use SJget(311) or SJget('Meszaros/de063155') in MATLAB.
  • download in Matrix Market format, file size: 26 KB.
  • download in Rutherford/Boeing format, file size: 21 KB.

    Meszaros/de063155

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

    Meszaros/de063155

    scc of Meszaros/de063155

    Matrix properties (click for a legend)  
    number of rows852
    number of columns1,848
    structural full rank?yes
    structural rank852
    numerical rank 841
    dimension of the numerical null space1,007
    numerical rank / min(size(A))0.98709
    Euclidean norm of A 1.0928e+012
    calculated singular value # 8410.26341
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.22559
    calculated singular value # 8420.17517
    gap in the singular values at the numerical rank:
    singular value # 841 / singular value # 842
    1.5037
    calculated condition number1.621e+013
    condest-2
    nonzeros4,913
    # of blocks from dmperm1
    # strongly connected comp.253
    entries not in dmperm blocks0
    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
    SJid311
    UFid1,783

    Additional fieldssize and type
    bfull 852-by-1
    cfull 1848-by-1
    lofull 1848-by-1
    hifull 1848-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 LU76,836 80,098
    nnz(R) for QR, upper bound nnz(U) for LU15,088 16,607

    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.