Matrix: JGD_Franz/Franz3

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

JGD_Franz/Franz3 graph
(bipartite graph drawing)


JGD_Franz/Franz3

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  • Matrix group: JGD_Franz
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  • download as a MATLAB mat-file, file size: 23 KB. Use UFget(1956) or UFget('JGD_Franz/Franz3') in MATLAB.
  • download in Matrix Market format, file size: 39 KB.
  • download in Rutherford/Boeing format, file size: 28 KB.

    Matrix properties
    number of rows1,280
    number of columns2,800
    nonzeros11,520
    structural full rank?yes
    structural rank1,280
    # 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

    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/1280x2800                              
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,490,496
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD443,191

    SVD-based statistics:
    norm(A)6.32456
    min(svd(A))1.34883e-17
    cond(A)4.68892e+17
    rank(A)1,025
    sprank(A)-rank(A)255
    null space dimension255
    full numerical rank?no
    singular value gap2.2175e+14

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

    JGD_Franz/Franz3 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.