• SJSU Singular Matrix Database
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
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  • Matrix: Meszaros/pf2177
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 83 KB. Use SJget(507) or SJget('Meszaros/pf2177') in MATLAB.
  • download in Matrix Market format, file size: 111 KB.
  • download in Rutherford/Boeing format, file size: 93 KB.

    Meszaros/pf2177

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

    Meszaros/pf2177

    scc of Meszaros/pf2177

    Matrix properties (click for a legend)  
    number of rows9,728
    number of columns10,178
    structural full rank?yes
    structural rank9,728
    numerical rank 9,662
    dimension of the numerical null space516
    numerical rank / min(size(A))0.99322
    Euclidean norm of A 9.7513
    calculated singular value # 96620.18432
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.808e-011
    calculated singular value # 96631.3285e-014
    gap in the singular values at the numerical rank:
    singular value # 9662 / singular value # 9663
    1.3874e+013
    calculated condition number9.9273e+015
    condest-2
    nonzeros30,984
    # of blocks from dmperm1
    # strongly connected comp.271
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2004
    kindlinear programming problem
    2D/3D problem?no
    SJid507
    UFid1,753

    Additional fieldssize and type
    bfull 9728-by-1
    cfull 10178-by-1
    lofull 10178-by-1
    hifull 10178-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 LU1,032,468 952,289
    nnz(R) for QR, upper bound nnz(U) for LU12,386,025 9,767,874

    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.