Matrix: JGD_Homology/ch7-7-b5

Description: Simplicial complexes from Homology from Volkmar Welker.

JGD_Homology/ch7-7-b5 graph
(bipartite graph drawing)


JGD_Homology/ch7-7-b5

  • Home page of the UF Sparse Matrix Collection
  • 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: 495 KB. Use UFget(2029) or UFget('JGD_Homology/ch7-7-b5') in MATLAB.
  • download in Matrix Market format, file size: 741 KB.
  • download in Rutherford/Boeing format, file size: 569 KB.

    Matrix properties
    number of rows35,280
    number of columns52,920
    nonzeros211,680
    structural full rank?yes
    structural rank35,280
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorV. Welker
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no

    Notes:

    Simplicial complexes from Homology from Volkmar Welker.      
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection, 
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html    
                                                                 
    http://www.mathematik.uni-marburg.de/~welker/                
                                                                 
    Filename in JGD collection: Homology/ch7-7.b5.35280x52920.sms
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD652,045,011
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD290,501,786

    SVD-based statistics:
    norm(A)3.74166
    min(svd(A))0
    cond(A)Inf
    rank(A)29,448
    sprank(A)-rank(A)5,832
    null space dimension5,832
    full numerical rank?no
    singular value gap3.83141e+13

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero
    status:ok

    JGD_Homology/ch7-7-b5 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.