• 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/relat5
  • Description: Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
  • download as a MATLAB mat-file, file size: 3 KB. Use SJget(562) or SJget('JGD_Relat/relat5') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.


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


    dmperm of JGD_Relat/relat5

    scc of JGD_Relat/relat5

    Matrix properties (click for a legend)  
    number of rows340
    number of columns35
    structural full rank?no
    structural rank33
    numerical rank 24
    dimension of the numerical null space11
    numerical rank / min(size(A))0.68571
    Euclidean norm of A 11.291
    calculated singular value # 242.2396
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 253.936e-015
    gap in the singular values at the numerical rank:
    singular value # 24 / singular value # 25
    calculated condition numberInf
    # of blocks from dmperm2
    # strongly connected comp.67
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorF. Hiver
    editorJ.-G. Dumas
    kindcombinatorial problem
    2D/3D problem?no


    Relations from Florent Hiver, Univ. Paris-Est Marne-La-Valle'e
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,  
    Filename in JGD collection: Relat/relat5.mat                  

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU4,816 4,325
    nnz(R) for QR, upper bound nnz(U) for LU308 297

    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.