Matrix: JGD_Homology/mk10-b2

Description: Simplicial complexes from Homology from Volkmar Welker.

JGD_Homology/mk10-b2 graph
(bipartite graph drawing)


JGD_Homology/mk10-b2

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: JGD_Homology
  • Click here for a description of the JGD_Homology group.
  • Click here for a list of all matrices
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  • download as a MATLAB mat-file, file size: 20 KB. Use UFget(2058) or UFget('JGD_Homology/mk10-b2') in MATLAB.
  • download in Matrix Market format, file size: 27 KB.
  • download in Rutherford/Boeing format, file size: 24 KB.

    Matrix properties
    number of rows3,150
    number of columns630
    nonzeros9,450
    structural full rank?yes
    structural rank630
    # 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/mk10.b2.3150x630.sms   
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,047,875
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD115,691

    SVD-based statistics:
    norm(A)5
    min(svd(A))1.82806e-15
    cond(A)2.73515e+15
    rank(A)586
    sprank(A)-rank(A)44
    null space dimension44
    full numerical rank?no
    singular value gap2.6778e+14

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

    JGD_Homology/mk10-b2 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.