Matrix: JGD_Franz/Franz9

Description: Cohomology of various rings, from Matthias Franz, Univ. Konstanz, Germany

JGD_Franz/Franz9 graph
(bipartite graph drawing)


JGD_Franz/Franz9

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  • Matrix group: JGD_Franz
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  • download as a MATLAB mat-file, file size: 179 KB. Use UFget(1962) or UFget('JGD_Franz/Franz9') in MATLAB.
  • download in Matrix Market format, file size: 272 KB.
  • download in Rutherford/Boeing format, file size: 245 KB.

    Matrix properties
    number of rows19,588
    number of columns4,164
    nonzeros97,508
    structural full rank?yes
    structural rank4,164
    # 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

    authorM. Franz
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no

    Notes:

    Cohomology of various rings, from Matthias Franz, Univ. Konstanz, Germany
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,             
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                
                                                                             
    Filename in JGD collection: Franz/19588x4164                             
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD49,806,687
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD5,148,759

    SVD-based statistics:
    norm(A)17.4356
    min(svd(A))1.19294e-15
    cond(A)1.46156e+16
    rank(A)3,545
    sprank(A)-rank(A)619
    null space dimension619
    full numerical rank?no
    singular value gap1.04488e+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_Franz/Franz9 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.