• SJSU Singular Matrix Database
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
  • Click here for a list of all matrices
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  • Matrix: Meszaros/air06
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 89 KB. Use SJget(483) or SJget('Meszaros/air06') in MATLAB.
  • download in Matrix Market format, file size: 176 KB.
  • download in Rutherford/Boeing format, file size: 92 KB.

    Meszaros/air06

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

    Meszaros/air06

    dmperm of Meszaros/air06

    Matrix properties (click for a legend)  
    number of rows825
    number of columns8,627
    structural full rank?no
    structural rank822
    numerical rank 706
    dimension of the numerical null space7,921
    numerical rank / min(size(A))0.85576
    Euclidean norm of A 39.341
    calculated singular value # 7060.45544
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    6.1299e-011
    calculated singular value # 7077.9643e-014
    gap in the singular values at the numerical rank:
    singular value # 706 / singular value # 707
    5.7186e+012
    calculated condition number3.7139e+017
    condest-2
    nonzeros70,806
    # of blocks from dmperm6
    # strongly connected comp.1
    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
    SJid483
    UFid1,689

    Additional fieldssize and type
    bfull 825-by-1
    cfull 8627-by-1
    lofull 8627-by-1
    hifull 8627-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 LU4,155,236 3,997,769
    nnz(R) for QR, upper bound nnz(U) for LU213,812 219,546

    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.