• SJSU Singular Matrix Database
  • Matrix group: JGD_Relat
  • Click here for a description of the JGD_Relat group.
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  • Matrix: JGD_Relat/relat7b
  • Description: Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
  • download as a MATLAB mat-file, file size: 166 KB. Use SJget(654) or SJget('JGD_Relat/relat7b') in MATLAB.
  • download in Matrix Market format, file size: 216 KB.
  • download in Rutherford/Boeing format, file size: 197 KB.

    JGD_Relat/relat7b

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

    JGD_Relat/relat7b

    dmperm of JGD_Relat/relat7b

    scc of JGD_Relat/relat7b

    Matrix properties (click for a legend)  
    number of rows21,924
    number of columns1,045
    structural full rank?no
    structural rank1,043
    numerical rank 1,012
    dimension of the numerical null space33
    numerical rank / min(size(A))0.96842
    Euclidean norm of A 16.123
    calculated singular value # 10121.4858
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    7.789e-011
    calculated singular value # 10138.168e-014
    gap in the singular values at the numerical rank:
    singular value # 1012 / singular value # 1013
    1.8191e+013
    calculated condition numberInf
    condest-2
    nonzeros81,355
    # of blocks from dmperm2
    # strongly connected comp.1,427
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorF. Hiver
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no
    SJid654
    UFid2,183

    Notes:

    Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,  
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html     
                                                                  
    http://www-igm.univ-mlv.fr/~hivert/                           
                                                                  
                                                                  
    Filename in JGD collection: Relat/relat7b.mat                 
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU12,870,730 11,027,631
    nnz(R) for QR, upper bound nnz(U) for LU314,277 310,284

    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.