• SJSU Singular Matrix Database
  • Matrix group: JGD_Relat
  • Click here for a description of the JGD_Relat group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: JGD_Relat/rel6
  • Description: Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
  • download as a MATLAB mat-file, file size: 10 KB. Use SJget(597) or SJget('JGD_Relat/rel6') in MATLAB.
  • download in Matrix Market format, file size: 12 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    JGD_Relat/rel6

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

    JGD_Relat/rel6

    dmperm of JGD_Relat/rel6

    scc of JGD_Relat/rel6

    Matrix properties (click for a legend)  
    number of rows2,340
    number of columns157
    structural full rank?no
    structural rank155
    numerical rank 137
    dimension of the numerical null space20
    numerical rank / min(size(A))0.87261
    Euclidean norm of A 12.873
    calculated singular value # 1371.2615
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.1567e-012
    calculated singular value # 1381.0022e-014
    gap in the singular values at the numerical rank:
    singular value # 137 / singular value # 138
    1.2587e+014
    calculated condition numberInf
    condest-2
    nonzeros5,101
    # of blocks from dmperm2
    # strongly connected comp.1,043
    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
    SJid597
    UFid2,175

    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/rel6.mat                    
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU97,751 96,138
    nnz(R) for QR, upper bound nnz(U) for LU6,092 5,910

    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.