Matrix: JGD_Groebner/rkat7_mat5

Description: Groebner basis from Jean-Charles Fauge`res

JGD_Groebner/rkat7_mat5 graph
(bipartite graph drawing)


JGD_Groebner/rkat7_mat5

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  • Matrix group: JGD_Groebner
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  • download as a MATLAB mat-file, file size: 130 KB. Use UFget(2005) or UFget('JGD_Groebner/rkat7_mat5') in MATLAB.
  • download in Matrix Market format, file size: 182 KB.
  • download in Rutherford/Boeing format, file size: 93 KB.

    Matrix properties
    number of rows694
    number of columns738
    nonzeros38,114
    structural full rank?yes
    structural rank694
    # 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

    authorJ.-C. Faugeres
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no

    Notes:

    Gro"bner basis from Jean-Charles Fauge`res,                 
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html   
                                                                
    http://www-calfor.lip6.fr/~jcf/                             
                                                                
    Filename in JGD collection: Grobner/rkat7_mat5              
    

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD149,961
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD195,328

    SVD-based statistics:
    norm(A)3.76279e+06
    min(svd(A))3.52428e-06
    cond(A)1.06768e+12
    rank(A)694
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    JGD_Groebner/rkat7_mat5 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.