• 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/model9
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 242 KB. Use SJget(370) or SJget('Meszaros/model9') in MATLAB.
  • download in Matrix Market format, file size: 267 KB.
  • download in Rutherford/Boeing format, file size: 193 KB.

    Meszaros/model9

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

    Meszaros/model9

    dmperm of Meszaros/model9

    scc of Meszaros/model9

    Matrix properties (click for a legend)  
    number of rows2,879
    number of columns10,939
    structural full rank?no
    structural rank2,787
    numerical rank 2,787
    dimension of the numerical null space8,152
    numerical rank / min(size(A))0.96804
    Euclidean norm of A 1000
    calculated singular value # 27870.082894
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.2436e-009
    calculated singular value # 27883.6344e-014
    gap in the singular values at the numerical rank:
    singular value # 2787 / singular value # 2788
    2.2808e+012
    calculated condition number7.9033e+020
    condest-2
    nonzeros55,956
    # of blocks from dmperm43
    # strongly connected comp.190
    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
    SJid370
    UFid1,730

    Additional fieldssize and type
    bfull 2879-by-1
    cfull 10939-by-1
    lofull 10939-by-1
    hifull 10939-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 LU1,894,747 894,241
    nnz(R) for QR, upper bound nnz(U) for LU99,292 98,036

    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.