Matrix: JGD_SPG/08blocks

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

JGD_SPG/08blocks graph JGD_SPG/08blocks graph
(bipartite graph drawing) (graph drawing of A+A')

JGD_SPG/08blocks dmperm of JGD_SPG/08blocks
scc of JGD_SPG/08blocks

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: JGD_SPG
  • Click here for a description of the JGD_SPG group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 2 KB. Use UFget(2194) or UFget('JGD_SPG/08blocks') in MATLAB.
  • download in Matrix Market format, file size: 3 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Matrix properties
    number of rows300
    number of columns300
    structural full rank?yes
    structural rank300
    # of blocks from dmperm300
    # strongly connected comp.8
    explicit zero entries0
    nonzero pattern symmetry 3%
    numeric value symmetry 0%
    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/08blocks.sms                        

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD876
    Cholesky flop count2.6e+03
    nnz(L+U), no partial pivoting, with AMD1,452
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD300
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,776

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

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

    JGD_SPG/08blocks 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.