Matrix: Bates/Chem97Zt

Description: Mixed-effects model from D. Bates, Univ. Wisc.

Bates/Chem97Zt graph
(bipartite graph drawing)


Bates/Chem97Zt dmperm of Bates/Chem97Zt
scc of Bates/Chem97Zt

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  • Matrix group: Bates
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  • download as a MATLAB mat-file, file size: 49 KB. Use UFget(1400) or UFget('Bates/Chem97Zt') in MATLAB.
  • download in Matrix Market format, file size: 127 KB.
  • download in Rutherford/Boeing format, file size: 80 KB.

    Matrix properties
    number of rows2,541
    number of columns31,022
    nonzeros62,044
    structural full rank?yes
    structural rank2,541
    # of blocks from dmperm163
    # strongly connected comp.131
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorD. Bates
    editorT. Davis
    date2006
    kindstatistical/mathematical problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD73,918
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4,951

    SVD-based statistics:
    norm(A)31.4213
    min(svd(A))0
    cond(A)Inf
    rank(A)2,410
    sprank(A)-rank(A)131
    null space dimension131
    full numerical rank?no
    singular value gap5.51017e+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

    Bates/Chem97Zt 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.