• 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/model6
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 138 KB. Use SJget(403) or SJget('Meszaros/model6') in MATLAB.
  • download in Matrix Market format, file size: 136 KB.
  • download in Rutherford/Boeing format, file size: 106 KB.

    Meszaros/model6

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

    Meszaros/model6

    dmperm of Meszaros/model6

    scc of Meszaros/model6

    Matrix properties (click for a legend)  
    number of rows2,096
    number of columns5,289
    structural full rank?no
    structural rank2,094
    numerical rank 2,094
    dimension of the numerical null space3,195
    numerical rank / min(size(A))0.99905
    Euclidean norm of A 1111.2
    calculated singular value # 20940.039704
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.2026e-009
    calculated singular value # 20953.7258e-016
    gap in the singular values at the numerical rank:
    singular value # 2094 / singular value # 2095
    1.0656e+014
    calculated condition number3.4201e+020
    condest-2
    nonzeros27,628
    # of blocks from dmperm32
    # strongly connected comp.10
    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
    SJid403
    UFid1,727

    Additional fieldssize and type
    bfull 2096-by-1
    cfull 5289-by-1
    lofull 5289-by-1
    hifull 5289-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 LU1,145,170 591,024
    nnz(R) for QR, upper bound nnz(U) for LU123,262 91,521

    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.