• 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/aa6
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 73 KB. Use SJget(465) or SJget('Meszaros/aa6') in MATLAB.
  • download in Matrix Market format, file size: 132 KB.
  • download in Rutherford/Boeing format, file size: 75 KB.

    Meszaros/aa6

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

    Meszaros/aa6

    dmperm of Meszaros/aa6

    Matrix properties (click for a legend)  
    number of rows646
    number of columns7,292
    structural full rank?yes
    structural rank646
    numerical rank 563
    dimension of the numerical null space6,729
    numerical rank / min(size(A))0.87152
    Euclidean norm of A 37.614
    calculated singular value # 5630.56393
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    5.1813e-011
    calculated singular value # 5646.978e-014
    gap in the singular values at the numerical rank:
    singular value # 563 / singular value # 564
    8.0816e+012
    calculated condition number2.1139e+017
    condest-2
    nonzeros51,728
    # of blocks from dmperm2
    # strongly connected comp.1
    entries not in dmperm blocks5
    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
    SJid465
    UFid1,684

    Additional fieldssize and type
    bfull 646-by-1
    cfull 7292-by-1
    lofull 7292-by-1
    hifull 7292-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 DMPERM+
    nnz(V) for QR, upper bound nnz(L) for LU2,799,927 2,861,173 2,611,100
    nnz(R) for QR, upper bound nnz(U) for LU137,257 144,462 132,334

    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.