Matrix: JGD_Groebner/HFE18_96_in

Description: Groebner basis from Jean-Charles Fauge`res

JGD_Groebner/HFE18_96_in graph
(bipartite graph drawing)

JGD_Groebner/HFE18_96_in dmperm of JGD_Groebner/HFE18_96_in
scc of JGD_Groebner/HFE18_96_in

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  • Matrix group: JGD_Groebner
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  • download as a MATLAB mat-file, file size: 1 MB. Use UFget(2004) or UFget('JGD_Groebner/HFE18_96_in') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.

    Matrix properties
    number of rows2,372
    number of columns4,096
    structural full rank?no
    structural rank2,371
    # of blocks from dmperm2
    # strongly connected comp.1,726
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

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


    Gro"bner basis from Jean-Charles Fauge`res,                 
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,   
    Filename in JGD collection: Grobner/         

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,341,530
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,807,609

    SVD-based statistics:
    null space dimension1
    full numerical rank?no
    singular value gap4.38447e+10

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

    JGD_Groebner/HFE18_96_in 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.