Matrix: JGD_Homology/n3c6-b7

Description: Simplicial complexes from Homology from Volkmar Welker.

JGD_Homology/n3c6-b7 graph
(undirected graph drawing)


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  • Matrix group: JGD_Homology
  • Click here for a description of the JGD_Homology group.
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  • download as a MATLAB mat-file, file size: 103 KB. Use UFget(2104) or UFget('JGD_Homology/n3c6-b7') in MATLAB.
  • download in Matrix Market format, file size: 168 KB.
  • download in Rutherford/Boeing format, file size: 121 KB.

    Matrix properties
    number of rows6,435
    number of columns6,435
    structural full rank?yes
    structural rank6,435
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 53%
    Cholesky candidate?no
    positive definite?no

    authorV. Welker
    editorJ.-G. Dumas
    kindcombinatorial problem
    2D/3D problem?no


    Simplicial complexes from Homology from Volkmar Welker.     
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,   
    Filename in JGD collection: Homology/n3c6.b7.6435x6435.sms  

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,246,625
    Cholesky flop count7.7e+09
    nnz(L+U), no partial pivoting, with AMD8,486,815
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,659,868
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD14,851,943

    SVD-based statistics:
    null space dimension3,003
    full numerical rank?no
    singular value gap2.73097e+14

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

    JGD_Homology/n3c6-b7 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.