Matrix: JGD_Relat/rel7

Description: Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e

JGD_Relat/rel7 graph
(bipartite graph drawing)


JGD_Relat/rel7 dmperm of JGD_Relat/rel7
scc of JGD_Relat/rel7

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  • Matrix group: JGD_Relat
  • Click here for a description of the JGD_Relat group.
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  • download as a MATLAB mat-file, file size: 96 KB. Use UFget(2176) or UFget('JGD_Relat/rel7') in MATLAB.
  • download in Matrix Market format, file size: 128 KB.
  • download in Rutherford/Boeing format, file size: 115 KB.

    Matrix properties
    number of rows21,924
    number of columns1,045
    nonzeros50,636
    structural full rank?no
    structural rank1,043
    # of blocks from dmperm2
    # strongly connected comp.9,157
    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

    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/rel7.mat                    
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD7,789,600
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD311,942

    SVD-based statistics:
    norm(A)15.5083
    min(svd(A))0
    cond(A)Inf
    rank(A)1,012
    sprank(A)-rank(A)31
    null space dimension33
    full numerical rank?no
    singular value gap3.04972e+13

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    JGD_Relat/rel7 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.