• 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/relat4
  • Description: Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
  • download as a MATLAB mat-file, file size: 1 KB. Use SJget(550) or SJget('JGD_Relat/relat4') in MATLAB.
  • download in Matrix Market format, file size: 988 bytes.
  • download in Rutherford/Boeing format, file size: 869 bytes.

    JGD_Relat/relat4

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

    JGD_Relat/relat4

    dmperm of JGD_Relat/relat4

    scc of JGD_Relat/relat4

    Matrix properties (click for a legend)  
    number of rows66
    number of columns12
    structural full rank?no
    structural rank10
    numerical rank 5
    dimension of the numerical null space7
    numerical rank / min(size(A))0.41667
    Euclidean norm of A 8.5038
    calculated singular value # 52.6588
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.1724e-013
    calculated singular value # 61.2937e-015
    gap in the singular values at the numerical rank:
    singular value # 5 / singular value # 6
    2.0552e+015
    calculated condition numberInf
    condest-2
    nonzeros172
    # of blocks from dmperm2
    # strongly connected comp.23
    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
    SJid550
    UFid2,180

    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/relat4.mat                  
    

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU322 219
    nnz(R) for QR, upper bound nnz(U) for LU44 37

    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.