Matrix: JGD_SPG/EX5

Description: Symmetric powers of graphs from Gordon Royle, Univ Western Australia

JGD_SPG/EX5 graph
(undirected graph drawing)


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  • Matrix group: JGD_SPG
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  • download as a MATLAB mat-file, file size: 496 KB. Use UFget(2199) or UFget('JGD_SPG/EX5') in MATLAB.
  • download in Matrix Market format, file size: 368 KB.
  • download in Rutherford/Boeing format, file size: 279 KB.

    Matrix properties
    number of rows6,545
    number of columns6,545
    structural full rank?yes
    structural rank6,545
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorG. Royle
    editorJ.-G. Dumas
    kindcombinatorial problem
    2D/3D problem?no


    Symmetric powers of graphs from Gordon Royle, Univ Western Australia
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,              
    Filename in JGD collection: SPG/EX5.sms                             

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD15,187,468
    Cholesky flop count5.5e+10
    nnz(L+U), no partial pivoting, with AMD30,368,391
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD18,936,879
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD20,600,773

    SVD-based statistics:
    null space dimension1,805
    full numerical rank?no
    singular value gap4.5735e+12

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    JGD_SPG/EX5 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.