• SJSU Singular Matrix Database
  • Matrix group: Meszaros
  • Click here for a description of the Meszaros group.
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  • Matrix: Meszaros/stat96v5
  • Description: linear programming problem, C. Meszaros test set
  • download as a MATLAB mat-file, file size: 653 KB. Use SJget(538) or SJget('Meszaros/stat96v5') in MATLAB.
  • download in Matrix Market format, file size: 897 KB.
  • download in Rutherford/Boeing format, file size: 284 KB.

    Meszaros/stat96v5

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

    Meszaros/stat96v5

    dmperm of Meszaros/stat96v5

    scc of Meszaros/stat96v5

    Matrix properties (click for a legend)  
    number of rows2,307
    number of columns75,779
    structural full rank?no
    structural rank2,305
    numerical rank 2,305
    dimension of the numerical null space73,474
    numerical rank / min(size(A))0.99913
    Euclidean norm of A 19.523
    calculated singular value # 23054.6192
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.6922e-010
    calculated singular value # 23060
    gap in the singular values at the numerical rank:
    singular value # 2305 / singular value # 2306
    Inf
    calculated condition numberInf
    condest-2
    nonzeros233,921
    # of blocks from dmperm3
    # strongly connected comp.3
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    author
    editorC. Meszaros
    date2005
    kindlinear programming problem
    2D/3D problem?no
    SJid538
    UFid1,776

    Additional fieldssize and type
    bfull 2307-by-1
    cfull 75779-by-1
    lofull 75779-by-1
    hifull 75779-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 LU108,273,254 116,263,340
    nnz(R) for QR, upper bound nnz(U) for LU1,950,039 2,038,100

    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.